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Question (11)

QN0035310

Four particles of masses and are placed at the vertices and as respectively of a square shown. The COM of the system will lie at diagonal if

(A)
(B)
(C)
(D)

Correct Answer: B

Explanation:

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Question (12)

QN0035311

In the figure shown is a uniform wire. If centre of mass of wire lies vertically below point , then is close to

(A)
1.85
(B)
1.5
(C)
1.37
(D)
3

Correct Answer: C

Explanation:

Centre of mass

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Question (13)

QN0035312

A circular hole of radius is cut out of a circular disc of radius ' ' as shown in figure. The centroid of the remaining circular portion with respect to point ' ' will be:

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

Let be the mass of circular disk.

The density of desk;

Now let be the mass of cut out disk.

.

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Question (14)

QN0035313

The centre of mass of three bodies each of mass located at the points and in the XY plane is

(A)
(B)
(C)
(D)

Correct Answer: D

Explanation:

Therefore the coordinates of centre of mass are .

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Question (15)

QN0035314

uniform thin of length has linear mass density , where is measured from . If the of the rod lies at a distance of from , then and are related as:

(A)
(B)
(C)
(D)

Correct Answer: B

Explanation:

Centre of mass of the rod is given by:

Now

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Question (11)

Four particles of masses and are placed at the vertices and as respectively of a square shown. The COM of the system will lie at diagonal if

Explanation:

Link:

Question (12)

In the figure shown is a uniform wire. If centre of mass of wire lies vertically below point , then is close to

Explanation:

Link:

Question (13)

A circular hole of radius is cut out of a circular disc of radius ' ' as shown in figure. The centroid of the remaining circular portion with respect to point ' ' will be:

Explanation:

Link:

Question (14)

The centre of mass of three bodies each of mass located at the points and in the XY plane is

Explanation:

Link:

Question (15)

uniform thin of length has linear mass density , where is measured from . If the of the rod lies at a distance of from , then and are related as:

Explanation:

Link:

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