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Review. A chain of length L and total mass M is released from rest with its lower end just touching the top of a table as shown in Figure P9.96a. Find the force exerted by the table on the chain after the chain has fallen through a distance x as shown in Figure P9.96b. (Assume each link comes to rest the instant it reaches the table.)

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Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

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Chapter
Section
BuyFindarrow_forward

Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 9, Problem 9.96CP
Textbook Problem
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Review. A chain of length L and total mass M is released from rest with its lower end just touching the top of a table as shown in Figure P9.96a. Find the force exerted by the table on the chain after the chain has fallen through a distance x as shown in Figure P9.96b. (Assume each link comes to rest the instant it reaches the table.)

Chapter 9, Problem 9.96CP, Review. A chain of length L and total mass M is released from rest with its lower end just touching

To determine

The force exerted by the table on the chain.

Explanation of Solution

Given info: The length of chain is L , total mass of the chain is M .

Write the expression for the force exerted by the table.

F1=dpdt (1)

Here,

p is the momentum.

Write the expression for momentum.

p=mv

Here,

m is the mass.

v is the velocity.

Substitute mv for p in equation (1).

F1=d(mv)dt

Differentiate the above equation with respect to t .

F1=vdmdt+mdvdt

Here, vdmdt0 and mdvdt=0

Write the expression for change in mass.

dm=MLdx

Hence F1=vdmdt (2)

Substitute MLdx for dm in equation (2)

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Physics for Scientists and Engineers, Technology Update (No access codes included)
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