(a) Explanation The free body diagram of the pulley is shown in the Figure below. Assume that the pulley is frictionless and neglect the weight of the two scales. From the free body diagram write the expression for net force in the horizontal direction. T 1 cos θ = T (I) Here, T is the tension on the rope attached to the wall, T 1 is the tension on the rope attached to the ceiling, and θ is the angle at which the rope makes with the ceiling. From the free body diagram write the expression for net force in the vertical direction. T 1 sin θ = M g (II) Here, M is the mass of the block, and g is the acceleration due to gravity. Solve equation (II) for T 1 . T 1 = M g sin θ (III) Use equation (III) in (I), and substitute M g for T (b) To determine The angle at which the rope makes with the ceiling.

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ISBN: 9781260486834

Author: GIAMBATTISTA

Publisher: MCG

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Question

Chapter 2, Problem 89P

(a)

To determine

The tension in the rope from which the pulley hangs.

(b)

To determine

The angle at which the rope makes with the ceiling.

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Chapter 2, Problem 88P

Chapter 2, Problem 90P

Chapter 2 Solutions

COLLEGE PHYSICS-CONNECT ACCESS

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