Laws Of Motion Question 134

Question: A plumb bob is hung from the ceiling of a train compartment. The train moves on an inclined track of inclination 30 with horizontal. The acceleration of train up the plane is a=g/2 . The angle which the string supporting the bob makes with normal to the ceiling in equilibrium is

Options:

A) 30

B) tan1(23)

C) tan1(3/2)

D) tan1(2)

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Answer:

Correct Answer: B

Solution:

[b] Tsinθmgsin30=ma

Tsinθ=mgsin30+mg/2(i)

Tcosθ=mgcos30(ii) Dividing Eqs. (i) by (ii), we get tanθ=23



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