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Free-Body Diagrams - FBD

A block B is placed on block A. The mass of block B is less th

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A block B is placed on block A. The mass of block B is less that the mass of block A. Friction exists between the blocks, whereas the ground on which the block A is placed is taken to be smooth. A horizontal force $F$ , increasing linearly with time begins to act on B. The acceleration $a_{A}$ and $a_{B}$ of blocks A and B respectively are plotted against $t$ . The correctly plotted graph is

Name: Video solution 1: A block B is placed on block A. The mass of block B is less that the mass of block A. Friction exists between the blocks, whereas the ground on which the block A is placed is taken to be smooth. A horizontal force F, increasing linearly with time begins to act on B. The acceleration aA and aB of blocks A and B respectively are plotted against t. The correctly plotted graph is
Uploaded: 2023-08-13T18:11:02.000Z
Duration: 4 min
Description: Video solution 1: A block B is placed on block A. The mass of block B is less that the mass of block A. Friction exists between the blocks, whereas the ground on which the block A is placed is taken to be smooth. A horizontal force F, increasing linearly with time begins to act on B. The acceleration aA and aB of blocks A and B respectively are plotted against t. The correctly plotted graph is

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Updated on: Aug 13, 2023

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Lucas Discussed

A block B is placed on block A. The mass of block B is less that the mass of block A. Friction exists between the blocks, whereas the ground on which the block A is placed is taken to be smooth. A horizontal force

F

, increasing linearly with time begins to act on B. The acceleration

a_{A}

and

a_{B}

of blocks A and B respectively are plotted against

t

. The correctly plotted graph is

15 mins ago

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15 mins ago

Text solutionVerified

If the applied force is less than limiting friction between block

A

and

B

, then whole system move with common acceleration
i.e.

a_{A} = a_{B} = \frac{F}{m _{A} + m _{B}}

but the applied force increases with time, so when it becomes more than limiting friction between

A

and

B

, block

B

starts moving under the effect of net force

F - F_{k}

Where

F_{k} =

kinetic friction between block

A

and

B

∴

Acceleration of block

B, a_{B} = \frac{F - F _{k}}{m _{B}}

F

is increasing with time so

a_{B}

will increase with time

Kinetic friction is the cause of motion of block

A

∴

Acceleration of block

A, a_{A} = \frac{F _{k}}{m _{A}}

It is clear that

a_{B} > a_{A}

. i. e. graph (3) correctly represents the variation in acceleration with time for block

A

and

B

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Question Text	A block B is placed on block A. The mass of block B is less that the mass of block A. Friction exists between the blocks, whereas the ground on which the block A is placed is taken to be smooth. A horizontal force $F$ , increasing linearly with time begins to act on B. The acceleration $a_{A}$ and $a_{B}$ of blocks A and B respectively are plotted against $t$ . The correctly plotted graph is
Updated On	Aug 13, 2023
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	116
Avg. Video Duration	4 min

Text solutionVerified

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