2.16 A mass M₁ slides on a 45° inclined plane of height H as shown in Fig. 2-14. It is connected by a flexible cord of negligible mass over a small pulley (neglect its mass) to an equal mass M₂ hanging vertically as shown. The length of the cord is such that the masses can be held at rest both at height H/2. The dimensions of the masses and the pulley are negligible compared to H. At time t=0 the two masses are released. (a) For t> 0 calculate the vertical acceleration a of M₂. (b) Which mass will move downward? (c) At what time ty will the mass identified in part b) strike the ground?
2.16 A mass M₁ slides on a 45° inclined plane of height H as shown in Fig. 2-14. It is connected by a flexible cord of negligible mass over a small pulley (neglect its mass) to an equal mass M₂ hanging vertically as shown. The length of the cord is such that the masses can be held at rest both at height H/2. The dimensions of the masses and the pulley are negligible compared to H. At time t=0 the two masses are released. (a) For t> 0 calculate the vertical acceleration a of M₂. (b) Which mass will move downward? (c) At what time ty will the mass identified in part b) strike the ground?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Transcribed Image Text:2.16 A mass M₁ slides on a 45° inclined plane of height H as shown in Fig. 2-14.
It is connected by a flexible cord of negligible mass over a small pulley (neglect its
mass) to an equal mass M₂ hanging vertically as shown. The length of the cord
is such that the masses can be held at rest both at height H/2. The dimensions
of the masses and the pulley are negligible compared to H. At time t=0 the
two masses are released.
(a) For t> 0 calculate the vertical acceleration a of M₂.
(b) Which mass will move downward?
(c) At what time i will the mass identified in part b) strike the ground?
(d) If the mass identified in part b) stops when it hits the ground, but the
other mass keeps moving, will it strike the pulley?
Transcribed Image Text:M₁
45⁰
M₂
H/2
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