A simple pendulum is attached to a block whic | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The correct option is $(d)$.When the block slides down the frictionless inclined plane with an acceleration $a = g \sin \alpha$,we analyze the mot

Vedclass · Accepted Answer

perpendicular to the inclined plane $AC$

Vedclass · Answer

(D) The correct option is $(d)$.When the block slides down the frictionless inclined plane with an acceleration $a = g \sin \alpha$,we analyze the motion of the pendulum bob in the non-inertial frame of reference of the block.$(i)$ The forces acting on the pendulum bob in the frame of the block are the gravitational force $mg$ (acting vertically downwards) and the pseudo force $ma = mg \sin \alpha$ (acting upwards parallel to the inclined plane).$(ii)$ The effective acceleration $g_{eff}$ experienced by the bob is the vector sum of the acceleration due to gravity $\vec{g}$ and the pseudo acceleration $-\vec{a}$.$(iii)$ The mean position of the pendulum corresponds to the direction of this effective acceleration $\vec{g}_{eff}$.$(iv)$ By resolving the gravitational force $mg$ into components perpendicular to the plane $(mg \cos \alpha)$ and parallel to the plane $(mg \sin \alpha)$,we see that the parallel component $mg \sin \alpha$ is exactly cancelled by the pseudo force $mg \sin \alpha$ acting in the opposite direction.$(v)$ Thus,the only remaining component of the effective force is $mg \cos \alpha$,which acts perpendicular to the inclined plane $AC$. Therefore,the string of the pendulum aligns itself perpendicular to the inclined plane at its mean position.

$A$ simple pendulum is attached to a block which slides without friction down an inclined plane $ABC$ having an angle of inclination $\alpha$ as shown below. While the block is sliding down,the pendulum oscillates in such a way that at its mean position,the direction of the string is

Similar Questions

$A$ man of mass $80\ kg$ is standing inside a lift moving upward with a uniform velocity of $4\ m/s$. Then,the apparent weight of the person will be:

$A$ man of mass $60 \ kg$ is standing in a lift moving up with a retardation of $2.8 \ ms^{-2}$. The apparent weight of the man is (in $N$)

Two wooden blocks of masses $M$ and $m$ are placed on a smooth horizontal surface as shown in the figure. If a force $P$ is applied to the system as shown in the figure such that the mass $m$ remains stationary with respect to the block of mass $M$,then the magnitude of the force $P$ is

$A$ body of mass $2 \, kg$ is hung on a spring balance mounted vertically in a lift. If the lift descends with an acceleration equal to the acceleration due to gravity $g$,the reading on the spring balance will be ....... $kg$.

In an elevator moving vertically up with an acceleration $g$,the force exerted on the floor by a passenger of mass $M$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module