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Q.

A particle of mass m is attached to one end of the light inextensible string and other end of the string is fixed in vertical plane as shown. Now particle is given horizontal velocity u=5gl2, then which of the following statement/s is/are correct.

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a

The string makes angle with the downward vertical is 600 when acceleration of the particle is horizontal

b

The tension in string is 2 mg when acceleration of the particle is horizontal.

c

The speed of the particle is 32gl  when acceleration of the particle is horizontal

d

The particle will not complete the circle.

answer is A.

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Detailed Solution

T−mgcos⁡60∘=mv2l-----(i)12m52gl2−mg12=12mv2----(ii)v=32g and T=2mgNet force is in horizontal direction when θ=60∘
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