Answered: Two blocks are connected by a massless…

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter12: Relativity, Particle Physics, And Cosmology

Section: Chapter Questions

Problem 2Q

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Two blocks are connected by a massless rope. The rope passes over an ideal (frictionless and massless) pulley such that one block with mass m₁ = 14.5 kg is on a horizontal table and the other block with mass m₂ = 7.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram.

Part (a) Assuming friction forces are negligible, write an expression, using only the variables provided, for the acceleration that the block of mass m₁ experiences in the x-direction. Your answer should involve the tension, T.

Part (b) Under the same assumptions, write an expression for the acceleration, a₂, the block of mass m₂ experiences in the y-direction. Your answer should be in terms of the tension, T and m₂.

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Applications of Newton's laws Begin Date: 2/29/2024 12:01:00 AM --Due Date: 3/5/2024 11:59:00 PM End Date: 3/5/2024 11:59:00 PM
(13%) Problem 4: Two blocks are connected by a massless rope. The rope passes over an ideal
(frictionless and massless) pulley such that one block with mass m₁ = 14.5 kg is on a horizontal table and
the other block with mass m₂ = 7.5 kg hangs vertically. Both blocks experience gravity and the tension
force, T. Use the coordinate system specified in the diagram.
a
A spring with a spring constant
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q
Submit
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d
1
mi
T
▷ & 25% Part (a) Assuming friction forces are negligible, write an expression, using only the variables provided, for the acceleration that the block of mass m
experiences in the x-direction. Your answer should involve the tension, T.
aj = ||
Hint
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Hints: 4% deduction per hint. Hints remaining: 3
| ▲ 25% Part (b) Under the same assumptions, write an expression for the acceleration, ay, the block of mass my experiences in the y-direction. Your answer
should be in terms of the tension, I and my.
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A 25% Part (c) Carefully consider how the accelerations at and an are related. Solve for the magnitude of the acceleration, aj, of the block of mass m₁, in meters
per square second.
A 25% Part (d) Find the magnitude of the tension in the rope, T, in newtons.
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