If a trolley accelerates horizontally with acceleration a then bob is displaced backward from its initial vertical position The - Physics - Laws Of Motion

Question

If a trolley accelerates horizontally with acceleration a
then bob is displaced backward from its initial vertical position
The angular deflection of bob in equilibrium is

â€‹Q58 If trolley accelerates horizontally with
acceleration a then bob is displaced backward from its initial
vertical position The angular deflection of the bob in equilibrium
is

1   θ   = cos - 1 a g        
                 
                 
                 
                2  
θ   = sin - 1 a g 3   θ   = cot - 1 a g
                 
                 
                 
                 
      4   θ   = tan - 1 a g

Tanu P Chandel · Answer

We can see in the image that g cos(theta) component of acceleration
of bob is balnced by a sin(theta) component of acceleration of
trolley g sin(theta) and a cos(theta) are in the same direction
Therefore, Net acceleration=g sin(theta) - a cos (theta) Since this
is equilibrium condition, a (net) =0 g sin(theta)=a cis(theta) tan
(theta)= a/g