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Motion of connected bodies

In the arrangement shown in figure. The strings are light and

Question

Medium

Solving time: 3 mins

In the arrangement shown in figure. The strings are light and inextensible. The surface over which blocks are placed is smooth. Find
(a) the acceleration of each block,

(b) the tension in each string.

Name: Video solution 1: In the arrangement shown in figure. The strings are light and inextensible. The surface over which blocks are placed is smooth. Find(a) the acceleration of each block,(b) the tension in each string.
Uploaded: 2023-02-20T14:35:31.000Z
Duration: 5 min
Description: Video solution 1: In the arrangement shown in figure. The strings are light and inextensible. The surface over which blocks are placed is smooth. Find(a) the acceleration of each block,(b) the tension in each string.

Views: 5,679 students

Updated on: Feb 20, 2023

Book:

Mechanics Volume 1 (DC Pandey)

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Scarlett Discussed

In the arrangement shown in figure. The strings are light and inextensible. The surface over which blocks are placed is smooth. Find
(a) the acceleration of each block,

(b) the tension in each string.

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

(a) Let

a

be the acceleration of each block and

T_{1}

and

T_{2}

be the tensions, in the two strings as shown in the figure. Solution Image

Taking the three blocks and the two strings as the system. Solution Image

Using

Σ F_{x} = m a_{x}

14 = (4 + 2 + 1) a

a = \frac{14}{7} = 2 m / s^{2}

Alternate Method

a = \frac{Net pulling force}{Total mass} = \frac{14}{4 + 2 + 1} = 2 m / s^{2}

(b) Free body diagram (showing the forces in

x

-direction only) of

4 kg

block and

1 kg

block are shown in Fig. Solution Image

Using Σ F_{x} For 1 kg block, F - T_{1} or 14 - T_{1} ∴ T_{1} For 4 kg block, T_{2} ∴ T_{2} = m a_{x} = (1) (a) = (1) (2) = 2 = 14 - 2 = 12 N = (4) (a) = (4) (2) = 8 N

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Question Text	In the arrangement shown in figure. The strings are light and inextensible. The surface over which blocks are placed is smooth. Find (a) the acceleration of each block, (b) the tension in each string.
Updated On	Feb 20, 2023
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	447
Avg. Video Duration	3 min

In the arrangement shown in figure. The strings are light and inextensible. The surface over which blocks are placed is smooth. Find
(a) the acceleration of each block,

(b) the tension in each string.

Text solutionVerified

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In the arrangement shown in figure. The strings are light and inextensible. The surface over which blocks are placed is smooth. Find(a) the acceleration of each block,(b) the tension in each string.

Text solutionVerified

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In the arrangement shown in figure. The strings are light and inextensible. The surface over which blocks are placed is smooth. Find
(a) the acceleration of each block,

(b) the tension in each string.