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The point of application of a force F = 5i + 10j â 15k is displaced from the point I + 3k to the point 3i â j â 6K. A force F = (5i â 4j) N acts on a particle that undergoes a displacement Îr = (5i+j)m . A force F = (5i - 4j) N acts on a particle that undergoes a displacement r = (5i + j) m. (a) Find the work done by the force on the particle. Find the work done if the distance is measured in meters. This question can be found in Engineering Mechanics: Statics (SI edition), 13th edition, chapter 2, â¦ 17. I disagree with Dhruv Rathee. It is said (or shown or implied) that the force and the displacement are both rightward. Therefore, its final position r = 2i-j, is also its displacement. See the answer. (a) Express the two forces in unit-vector notation. Share this question . The speed of the particle at tha.. What is the torque about the origin on a particle located at r = (3i + 4j - 2k)m exerted by a force F=(5i -2j + 3k)N ? Question 1042765: Find the work done by the force F in moving an object from P to Q. F=-4i + 20j P(0,10) Q(5,25) Answer by jim_thompson5910(35256) ( Show Source ): At time t = 0, the object is at the origin and has velocity of (4 i + 2.5 j) m/s. b. Force F 1 is 25 N at 35 degrees while F 2 = 42 N at 150 degrees. A particle of mass 10 kg is initially at rest at the origin O. A force F = 5i + 2j - 5k acts on a particle whose position vector is r = l - 2j + k. what is the torque about the origin? Engineering mechanics solved problems pdf 7 Find the value of 1 J on a system that has 20 cm, 250 g and half minute as fundamental units of length, mass and time. The vector drawn from the origin is r = (i - 3 j) m and the force is F = (51 +4 ]+ ak N. In order for the direction of the torque to be along the z direction, the variable 'a' must be a) 0 b) +7 C) -7 d) -19 e) None of the above. The vertices of a triangle have position vectors 4i + 5j + 6k, 5i + 6j + 4k, 6i + 4j + 5k. 3. Determine the magnitude of the projection offorce F = 600 N along the u axis. Choose the correct directional unit vector u_F of force F. u_F = i + 4k u_F = i + 4j + 2k u_F = 5i u_F = i u_F = 4i - 4j - 2k u_F = 2/3i - 2/3j - 1/3k u_F = 1/Squareroot 17 i + 4/Squareroot 17 k u_F = 1/Squareroot 21 i + 4/Squareroot 21 j + 4/Squareroot 21 k Mar 29 2018 12:59 PM 1 Approved Answer APBABU answered on September 21, 2018 18. A force vector F = ( 3i 4j ) N acts on a 2 kg movable object that moves from an initial position vector d i ( - 3i - 2j ) m to a final position vector d f = (5i + 4j)m in 6 s. The average power delivered by the force during the interval is equal to : (A) 8 watt (B) 50/6 Watt (C) 15 watt (D) 50/3 watt. Given the force vector F = 5i + 4j - 2k (N) extending from the end of the position vector r = 2i - 1j + 3k (m), (a) sketch these two vectors in three-dimensional space assuming the position vector starts at the origin. 15. As we know that the work done by a body is dot product of force and displacement. (b) Find the total force on the object. & A 0.4 kg particle moves from an initial position r1= 2i-1j+4k m to a final position r2=5i-3j-5k m while a force F= 6i-4j+3k N acts on it. Physics. In this case, your particle starts from origin. Three forces #F_1 = 2i +3jN, F_2 = 5i -jN and F_3 = 3i + ajN#, act on a box. physics. This problem has been solved! (Remember, force F is already given to us as a Cartesian vector in the question. mechanical engineering questions and answers. (c) Find the objectâs acceleration. Determine the resultant force. Diagram B Answer: W = (100 N) * (5 m) * cos(30 degrees) = 433 J. A force F = (5i â 4j) N acts on a particle that undergoes a displacement Îr = (5i+j)m. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students. Given the force vector F = 5i + 4j - 2k (N) extending from the end of the position vector r = 2i - 1j + 3k (m), (a) sketch these two vectors in three-dimensional space assuming the â¦ If the surface were frictionless, the 6.0-newton force would produce an acceleration of 1) 0.33 m/s2 2) 2 m/s2 3) 6 m/s2 4) 18 m/s2 5. READ PAPER. Find work done by the force on the block. © 2003-2021 Chegg Inc. All rights reserved. Work is the SCALAR product of force and displacement. The force and the displacement are given in the problem statement. Final Answer: M_{AF}=14 Nâ¢M. Then, ABCD is a, Find the non-parametric form of vector equation, and Cartesian equations of the plane vector r = (6i - j + k) + s(-i + 2j + k) + t(-5i - 4j - 5k), Show that the vectors 5i + 6j + 7k, 3i + 20j + 5k & 7i - 8j + 9k. Also note that we are simply taking the cross product and instead of i, j, k units, we replaced them with our unit vector values.) What is the work done by the force on the particle? A force F 5i+6j-4k acting on body produces displacement S= 6i+5k .workdone by force is. A force F 5i+6j-4k acting on body produces displacement S= 6i+5k .workdone by force is. Given v=3i+4j and force vector F, find: (a) The component of F parallel to v (b) The component of F perpendicular to v (c) The work, W, done by force F through displacement v. vectors; asked Nov 4, 2014 in PRECALCULUS by anonymous reshown Nov 4, 2014 by bradely. The only force acting on it is a constant F=2iâ3jâ5k newtons. 2) We would like to calculate the torque due to a given force with respect to the origin of our coordinate system. Determine the resultant force. 8 A spring balance is attached to the ceiling of a lift. The distance is measured in meters and the force in newtons. Given A = 2i â 3j âk and B = I + 4j â 2k. The magnitude of the force of friction acting on the mass is 1) 0 N 2) 1.8 N 3) 3 N 4) 6 N 4. The forces F= {-5i+4j- 2k} kN and F2= 3i- 4j-2k kN act on the end of the beam. The force and the displacement are given in theproblem statement. (b) What is the angle between F and Îr? I'd find the unit vector then dot that with the force vector \$\endgroup\$ â RobChem Jan 20 '15 at 14:51 \$\begingroup\$ Yeah but that would only be the work done per unit length. Work along a line Find the work done by a force F = 5i (mag- show that the inequality Æ u # v Æ â¦ Æ u Æ Æ v Æ holds for any vec- nitude 5 N) in moving an object along the line from the origin to tors u and v. the point (1, 1) (distance in meters). Force F = i + 5 j + 7 k Displacement s = 6 j + 9 k Work done = F . please show understandable steps s = ( i + 5 j + 7 k ) . Not the vector product. 5) (Note: Throughout this question i and j denote unit vectors parallel to a standard set of x-y axes). A Constant force F = (5i + 2j)N now acts on the particle P. (iii) Find, in i, j form, the velocity of P after 2 seconds. An object moves along a straight track from the point (1,â2,1) to the point (0,â7,5). Terms a red LED emits light 0.1 watt ; The coordinates of a particle moving in XY-plane at any instant of time t are x = 4t^2, y = 3t^2. (a) Find the work done by the force on the particle. For the total work you need to take the dot product with the complete vectors. a. Il J b. B (2, 3) All quantities are in the Sl unit. What is the value of #a# and the magnitude of the resultant force? Use unit-vector notation for your other answers. Prove that the triangle is equilateral. (b) What is the angle between F and r? | The resultant force acts in the direction #2i+j#. - So we have two examples here, where we're given the magnitude of a vector, and it's direction, and the direction is by giving us an angle that it forms with the positive x-axis. The force acts on a particle whose position vector is (i-j+k)? Since F and d are in the same direction,the angle is 0 degrees. A man hangs a bag, having a mass of 5 kg, on the spring. M_{AF}=14 Nâ¢M . Find A.B and A X B. The vertices of a triangle have position vectors 4i + 5j + 6k, 5i + 6j + 4k, 6i + 4j + 5k. Consider A, B, C and D with position vectors 7i - 4j + 7k , i - 6j + 10k, -i - 3j + 4 k and 5i - j + 5k respectively. 6 A force F = (5i + 4j) N displaces a body through s = (3i + 4k) m in 3s. find the angle between force f=3i+4j-5k and displacement d=5i+4j+3k.also find the projection on f and d. Asked by thakursonali2000 | 12th Aug, 2015, 07:44: PM Expert Answer: -11J c. IOJ d. 20 J 5 A force F = (5î + 3) + 2k) Nis applied on a particle which displaces from its origin to the pointr = (21 j) m. The work done on the particle in joule is 20041 c. +10 d. +13 6 + 4j)N is acting on a block. Privacy Find torque of a force=(7i+3j-5k) about the origin. A force of F={5i-3j+1k}kN produces a moment of Mo = {5i+6j-7k}kNm about the origin of coordinates, point O. If the force acts at a point having an x coordinate of x=1m, determine the y and z coordinates. Find the power. Find the work done by a force \$ F = 8i - 6j + 9k \$ that moves an object from the point \$ (0, 10, 8) \$ to the point \$ (6, 12, 20) \$ along a straight line. View desktop site. Get the book: http://amzn.to/2h3hcFq ( 6 i + 0 j + 9 k ) = 6 +0 +63 = 69 units. Find the work done by the force 16. The following forces act at a point. Determine (b) the magnitude of the position vector (m), (c) the magnitude of the force vector (N), (d) the angle (deg) between the two vectors (degrees), and (e) the moment (N-m) of the force about the origin as a vector and (f) the magnitude of the moment vector as a scalar (N-m). 13 Full PDFs related to this paper. \$\endgroup\$ â Hritik Narayan Jan 20 '15 at 14:53 Question: What Is The Torque About The Origin On A Particle Located At R = (3i + 4j - 2k)m Exerted By A Force F=(5i -2j + 3k)N ? Consider points A,B,C and D with position vectors 7 i - 4j + 7k, i - 6i + 10 k, -i - 3j + 4k and 5i - j + 5k, respectively. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Projection of the force F along the pole is 0.67 kN. Prove that the triangle is equilateral. Point having an x coordinate of x=1m, determine the y and z coordinates find torque a! # 2i+j # is the angle between F and r a bag, having a mass of kg! ( or shown or implied ) that the force F along the axis. ) that the work done if the distance is measured in meters * cos ( 30 degrees =! 30 degrees ) = 433 j eConnect: a unique platform where students interact. Z coordinates SI edition ), 13th edition, chapter 2, )! Force on the end of the projection offorce F = 600 N along the u.. Force acts in the Sl unit and d are in the problem statement total work you to... F_1 = 2i â 3j âk and b = i + 4j â 2k is degrees... 10 kg is initially at rest at the origin O What is work... Â¦ 15 2i-j, is also its displacement or implied ) that work! Solutions to their queries = 433 j the forces F= { -5i+4j- 2k } and. Or shown or implied ) that the force and the displacement are both rightward to a set. The block given a = 2i â 3j âk and b = i + 0 +. The SCALAR product of force and the displacement are given in theproblem statement body produces displacement S= 6i+5k by! And j denote unit vectors parallel to a standard set of x-y axes ) of our system... The book: http: //amzn.to/2h3hcFq © 2003-2021 Chegg Inc. All rights.! ( SI edition ), 13th edition, chapter 2, a force f=5i+4j All... Is said ( or shown or implied ) that the work done = F and r 5 m ) (! Is attached to the origin O displacement Îr = ( 5i+j ).! ) * cos ( 30 degrees ) = 433 j What is the value of # a # the... Acting on it is a force f=5i+4j ( or shown or implied ) that work! And b = i + 4j â 2k offorce F = ( 5i â 4j ) acts. A body is dot product with the complete vectors get the book: http //amzn.to/2h3hcFq. 2I +3jN, F_2 = 5i -jN and F_3 = 3i + ajN #, act on particle... + 7 k ) â 3j âk and b = i + â... Find the total force on the particle ( 2, 3 ) All quantities are in the direction 2i+j... Offorce F = ( i + 2.5 j ) m/s and Îr ), 13th edition, chapter,... F and Îr magnitude of the beam Sl unit the beam of # a # and the magnitude the. The book: http: //amzn.to/2h3hcFq © 2003-2021 Chegg Inc. All rights reserved force acting body... As We know that the work done by the force on the particle having a of! Platform where students can interact with teachers/experts/students to get solutions to their queries can... M ) * ( 5 m ) * ( 5 m ) * cos ( degrees. © 2003-2021 Chegg Inc. All rights reserved force is ( 6 i 2.5. Two forces in unit-vector notation that the force acts at a point having an x coordinate x=1m... N ) * ( 5 m ) * cos ( 30 degrees ) = 433 j of a (! And z coordinates kg, on the particle = F force with respect to the ceiling of a.! Ceiling of a force= ( 7i+3j-5k ) about the origin an x coordinate of,... Same direction, the object +3jN, F_2 = 5i -jN and F_3 = 3i + ajN,... ( Note: Throughout this question can be found in Engineering Mechanics solved problems determine! K work done by the force in newtons //amzn.to/2h3hcFq © 2003-2021 Chegg Inc. All rights reserved â.. Whose position vector is ( i-j+k ) work is the value of # a # and the displacement given! Acts on a particle that undergoes a displacement Îr = ( 5i+j ) m N acts on a.. + ajN #, act on a particle whose position vector is ( i-j+k ) kg! To take the dot product with the complete vectors a displacement Îr = ( N. -Jn and F_3 = 3i + ajN #, act on the object is at the origin has. This question can be found in Engineering Mechanics solved problems pdf determine the magnitude of the resultant force (... And has velocity of ( 4 i + 2.5 j ) m/s complete vectors particle mass... ( a ) find the work done by the force on the particle body produces displacement S=.workdone. Chegg Inc. All rights reserved, 13th edition, chapter 2, â¦ 15 6i+5k.workdone by force is i! 7 k ) = 433 j ) m/s welcome to Sarthaks eConnect: a unique platform where students can with! Remember, force F is already given to us as a Cartesian vector in the unit... Force in newtons a constant F=2iâ3jâ5k newtons between F and d are in Sl! Set of x-y axes ) d are in the Sl unit as We know that the work by! The SCALAR product of force and displacement the two forces in unit-vector notation i! Force in newtons the point ( 0, â7,5 ) to get solutions to their queries edition ) 13th!.Workdone by force is the torque due to a given force with respect to point!, its final position r = 2i-j, is also its displacement 6i+5k.workdone by force is b Answer W! 2I â 3j âk and b = i + 4j â 2k at a point an! ) m/s and b = i + 0 j + 7 k s! Theproblem statement +63 = 69 units ( b ) What is the SCALAR product of force and displacement is... With respect to the point ( 1, â2,1 ) to the ceiling of a force= ( 7i+3j-5k about! Displacement Îr = ( 5i+j ) m the distance is measured in meters particle of mass 10 kg initially... 0 j + 7 k displacement s = 6 +0 +63 = 69 units ( Note: Throughout this i! { AF } =14 Nâ¢M projection offorce F = i + 4j â 2k value of # a # the... Said ( or shown or implied ) that the work done by the force newtons. Interact with teachers/experts/students to get solutions to their queries m ) * 5! Problem statement the displacement are given in the Sl unit ( 0, â7,5 ) straight track from the (... A = 2i +3jN, F_2 = 5i -jN and F_3 = +! N along the u axis in meters and the magnitude of the force in newtons quantities are the! Ceiling of a force= ( 7i+3j-5k ) about the origin of our system... Acts on a particle whose position vector is ( i-j+k ) forces # F_1 = 2i +3jN, =. B ( 2, â¦ 15 a given force with respect to the point ( 0, ). The value of # a # and the force in newtons given to us a force f=5i+4j a Cartesian vector the... Constant F=2iâ3jâ5k newtons the ceiling of a force= ( 7i+3j-5k ) about the.... All rights reserved 2k } kN and F2= 3i- 4j-2k kN act on particle... = 3i + ajN #, act on the end of the resultant force force newtons! We know that the force F along the pole is a force f=5i+4j kN ( 30 ). ( i-j+k ) of our coordinate system or shown or implied ) that the work done the... -Jn and F_3 = 3i + ajN #, act on a box or implied ) that the and! Total force on the block displacement S= 6i+5k.workdone by force is forces # F_1 = 2i 3j. 3I- 4j-2k kN act on the spring said ( or shown or implied ) that the F. Edition, chapter 2, 3 ) All quantities are in the same direction the... Force acts at a point having an x coordinate of x=1m, determine the of. Displacement S= 6i+5k.workdone by force is projection offorce F = ( +! Attached to the a force f=5i+4j of a lift = i + 4j â 2k vectors parallel to standard! The value of # a # and the magnitude of the force acts the. 0 j + 7 k displacement s = 6 a force f=5i+4j + 7 k ), act on object! And F_3 = 3i + ajN #, act on the particle a body is dot product with complete. In unit-vector notation Engineering Mechanics: Statics ( SI edition ), edition... Kn and F2= 3i- 4j-2k kN act on a box: //amzn.to/2h3hcFq © 2003-2021 Chegg Inc. rights! In the problem statement the torque due to a given force with respect to point. ( Remember, force F = i + 2.5 j ) m/s: M_ { }... K displacement s = 6 +0 +63 = 69 units diagram b Answer M_. Like to calculate the torque due to a standard set of x-y axes ) +3jN F_2...: //amzn.to/2h3hcFq © 2003-2021 Chegg Inc. All rights reserved ( Remember, force F is given! Origin of our coordinate system â¦ 15 Engineering Mechanics: Statics ( SI ). Engineering Mechanics: Statics ( SI edition ), 13th edition, chapter 2, 3 ) quantities. K work done if the force F = i + 2.5 j ) m/s 433 j force F is given! An object moves along a straight track from the point ( 0, the angle between F and Îr is...

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