A truck is stationary and has a bob suspended | vedclass

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(B) When the truck accelerates to the right with acceleration $a$,a pseudo force $F_{	ext{pseudo}} = ma$ acts on the bob in the opposite direction (i

Vedclass · Accepted Answer

to the left and the angle of inclination of the pendulum with the vertical is $	an^{-1}\left(\frac{a}{g}ight)$

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(B) When the truck accelerates to the right with acceleration $a$,a pseudo force $F_{	ext{pseudo}} = ma$ acts on the bob in the opposite direction (i.e.,to the left) in the frame of the truck.Let $	heta$ be the angle the string makes with the vertical.In the equilibrium position of the bob in the truck's frame,the forces acting on the bob are the tension $T$,the gravitational force $mg$ acting downwards,and the pseudo force $ma$ acting to the left.Resolving the forces,we get:$T \sin 	heta = ma$$T \cos 	heta = mg$Dividing the two equations,we get:$	an 	heta = \frac{ma}{mg} = \frac{a}{g}$Therefore,$	heta = 	an^{-1}\left(\frac{a}{g}ight)$.Since the pseudo force acts to the left,the pendulum tilts to the left.

$A$ truck is stationary and has a bob suspended by a light string in a frame attached to the truck. The truck suddenly moves to the right with an acceleration of $a$. The pendulum will tilt:

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