A rope with mass m , is attached to a block with mass m b , as in Figure P4.72. Both the rope and the block rest on a horizontal, frictionless surface. The rope does not stretch. The free end of the rope is pulled to the right with a horizontal force F. (a) Draw free-body diagrams for the rope and the block, noting that the tension in the rope is not uniform, (b) Find the acceleration of the system in terms of m b , m T , and F. (c) Find the magnitude of the force the rope exerts on the block, (d) What happens to the force on the block as the rope’s mass approaches zero? What can you state about the tension in a light cord joining a pair of moving objects? Figure P4.72
A rope with mass m , is attached to a block with mass m b , as in Figure P4.72. Both the rope and the block rest on a horizontal, frictionless surface. The rope does not stretch. The free end of the rope is pulled to the right with a horizontal force F. (a) Draw free-body diagrams for the rope and the block, noting that the tension in the rope is not uniform, (b) Find the acceleration of the system in terms of m b , m T , and F. (c) Find the magnitude of the force the rope exerts on the block, (d) What happens to the force on the block as the rope’s mass approaches zero? What can you state about the tension in a light cord joining a pair of moving objects? Figure P4.72
Solution Summary: The author explains how to draw the free body diagram of the block and rope.
A rope with mass m, is attached to a block with mass mb, as in Figure P4.72. Both the rope and the block rest on a horizontal, frictionless surface. The rope does not stretch. The free end of the rope is pulled to the right with a horizontal force F. (a) Draw free-body diagrams for the rope and the block, noting that the tension in the rope is not uniform, (b) Find the acceleration of the system in terms of mb, mT, and F. (c) Find the magnitude of the force the rope exerts on the block, (d) What happens to the force on the block as the rope’s mass approaches zero? What can you state about the tension in a light cord joining a pair of moving objects?
Two blocks connected by a rope of negligible mass are being dragged by a force as shown. Assume F = 100.0 N, m1 = 10.0 kg, m2 = 15.0 kg, and the coefficient of kinetic friction between each block and the surface is 0.150. (a) Draw a free-body diagram for each block. Determine (b) the acceleration of the system and (c) the tension T in the rope.
I think I did the free-body correct.
Two blocks of masses m and m2
(m, > m2) are placed on a friction-
less table in contact with each other.
A horizontal force of magnitude F is
applied to the block of mass m, in
Figure P4.62. (a) If P is the magnitude of the contact force
between the blocks, draw the free-body diagrams for each
block. (b) What is the net force on the system consisting of
both blocks? (c) What is the net force acting on m? (d) What
is the net force acting on m,? (e) Write the x-component of
Newton's second law for each block. (f) Solve the resulting
Figure P4.62
system of two equations and two unknowns, expressing the
acceleration a and contact force Pin terms of the masses and
force. (g) How would the answers change if the force had
been applied to mạ instead? (Hint: use symmetry; don't calcu-
late!) Is the contact force larger, smaller, or the same in this
case? Why?
A block with mass of m1=2 kg is placed on top of a block with a mass m2=4kg. A horizontal force F=60N is applied to the block m2 is tied to the wall. The coefficient of kinetic friction between all surfaces is 0.4. Draw a free-body diagram for each block and identify the action-reaction forces between the blocks. Determine the tension in the siring and the magnitude of the acceleration of the block m2.(g=9.8 m/s^2)
Chapter 4 Solutions
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