Question

A trolley is falling freely on inclined plane.find the angle of pendulum with the ceiling of trolley

Answer 1

question is incomplete. A complete question is ----->A trolley is falling freely on inclined plane as shown in the figure. The angle of string of pendulum with the ceiling of trolley is (α) equal to

(1) θ° (2) 90° – θ° (3) 90° (4) 0°

answer : option (3) 90°

explanation : Let T is the tension acting on trolley.

so, component of tension along the inclined plane is $Tcos\alpha$.

if m is the mass of system of trolley,

then, component of weight along the inclined plane is $mgsin\theta$

acceleration of the trolley = acceleration of the bob in the trolley as bob is in the equilibrium in frame of the trolley.

so, net force along the plane,

$mgsin\theta+Tcos\alpha=ma$

for free falling on inclined plane, a = $gsin\theta$ along the plane.

so, $mgsin\theta+Tcos\alpha=mgsin\theta$

$Tcos\alpha=0$

$\alpha=90^{\circ}$

hence, option (3) is correct.

Answer 2

This is the answer for this question

hope it helped you