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54. Objects of masses m, = 4.00 kg and m, = 9.00 kg are connected by a light string that passes over a fric- tionless pulley as in Figure P4.54. The object m, is held m at rest on the floor, and m, rests on a fixed incline of 6 = 40.0°. The objects are released from rest, and m, slides 1.00 m down the incline in 4.00 s. Determine (a) the acceleration of each object, (b) the tension in the string, and (c) the coefficient of kinetic friction between m, and the Figure P4.54 incline.

54. Objects of masses m, = 4.00 kg and m, = 9.00 kg are connected by a light string that passes over a fric- tionless pulley as in Figure P4.54. The object m, is held m at rest on the floor, and m, rests on a fixed incline of 6 = 40.0°. The objects are released from rest, and m, slides 1.00 m down the incline in 4.00 s. Determine (a) the acceleration of each object, (b) the tension in the string, and (c) the coefficient of kinetic friction between m, and the Figure P4.54 incline.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Physics Problem: Pulley System with Incline** **Problem Description:** Objects with masses \( m_1 = 4.00 \, \text{kg} \) and \( m_2 = 9.00 \, \text{kg} \) are connected by a light string that passes over a frictionless pulley, as depicted in Figure P4.54. Object \( m_1 \) is held at rest on the floor, and \( m_2 \) rests on a fixed incline with an angle \( \theta = 40.0^\circ \). When the objects are released from rest, \( m_2 \) slides 1.00 m down the incline in 4.00 s. Calculate the following: (a) The acceleration of each object. (b) The tension in the string. (c) The coefficient of kinetic friction between \( m_2 \) and the incline. **Diagram Explanation:** The diagram (Figure P4.54) illustrates: - A right triangle representing the inclined plane with an angle of \( \theta = 40.0^\circ \). - Object \( m_2 \) is placed on the incline. - Object \( m_1 \) is placed on the ground. - A string connects the two objects over a pulley at the top of the incline. This setup helps visualize the forces acting on the objects, the incline angle, and the movement direction.
Transcribed Image Text:**Physics Problem: Pulley System with Incline** **Problem Description:** Objects with masses \( m_1 = 4.00 \, \text{kg} \) and \( m_2 = 9.00 \, \text{kg} \) are connected by a light string that passes over a frictionless pulley, as depicted in Figure P4.54. Object \( m_1 \) is held at rest on the floor, and \( m_2 \) rests on a fixed incline with an angle \( \theta = 40.0^\circ \). When the objects are released from rest, \( m_2 \) slides 1.00 m down the incline in 4.00 s. Calculate the following: (a) The acceleration of each object. (b) The tension in the string. (c) The coefficient of kinetic friction between \( m_2 \) and the incline. **Diagram Explanation:** The diagram (Figure P4.54) illustrates: - A right triangle representing the inclined plane with an angle of \( \theta = 40.0^\circ \). - Object \( m_2 \) is placed on the incline. - Object \( m_1 \) is placed on the ground. - A string connects the two objects over a pulley at the top of the incline. This setup helps visualize the forces acting on the objects, the incline angle, and the movement direction.
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Pulley is a basic wooden or metallic contraption that lifts large items with a wheel and rope. Plastic pulleys are now available on the market for carrying modest weights. This may be freely rotated about an axis that runs through its center. It has the ability to alter the direction of a force, making it considerably easier for humans to lift things.

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