Use the scenario below for the next four questions. A block of mass M is on a ho
ID: 1438787 • Letter: U
Question
Use the scenario below for the next four questions.
A block of mass M is on a horizontal rough table. You are pulling with a force F on a massless inextensible string that is attached to the block and goes over a pulley as shown. The rope does not slip on the pulley. For questions 11 through 13, you can assume that the pulley is massless and free to rotate about its axis. The coefficients of static and kinetic friction between the block and the table is ?s and ?k, respectively.
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11. If the block is not moving, what is the force you applied on the rope, F?
A) Mg
B) ?s Mg + Mg
C) ?sMg
D) ?kMg
E) Not enough information is given.
12. Now assume that the block is moving with a constant velocity to the right on the table. What is the force you apply on the rope, F?
A) ?kMg
B) Mg
C) ?kMg?Mg
D) ?sMg
E) Not enough information is given.
13. Now assume that the block is moving with a constant acceleration, a, to the right on the table. What is the acceleration a?
A)M
B) ?kMg
C) Mg
D) T??kMg
E) 0
14. If the pulley is not massless, and the angular acceleration of the pull is constant, how do the magnitudes of F and T compare?
A) T=F
B) T>F
C) T<F
D) Not enough information is given.
Pulley Block TableExplanation / Answer
11) If the block is not moving => F < sMg
=> Not enough information is given
12) the block is moving with a constant velocity to the right
=> F = kinetic frictional force acting on block
= kMg ( As, net Force acting on block = 0 )
13) block is moving with a constant acceleration, a,
=> Ma = T - kMg
=> a = T/M - kg
=> a = M
14) If the pulley is not massless
=> T + ( moment of inertia * angular acceleration )/R = F
=> T = F - ( moment of inertia * angular acceleration )/R
=> T < F
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