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

Question

Infinity Learn · Accepted Answer

T $$sin$$θ $$-$$ mg $$sin$$ $$30$$° $$=$$ ma⇒ T $$sin$$θ $$=$$ mg $$sin$$ $$30$$° $$+$$ $$mg/2$$  ......... (i)T$$ $$cos$$θ $$=$$ mg $$cos$$ $$30$$° .......... $$(ii) Dividing Eqs. (i) by (ii), we gettanθ$$=23$$

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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material