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Q56) a trolley freefalling on inclined plane as shown in figure.the angle of stringof pendulum with ceiling of trolley is..

Q56) a trolley freefalling on inclined plane as shown in figure.the angle of stringof pendulum with ceiling of trolley is..

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Grade:12th pass

3 Answers

prince
11 Points
6 years ago
As given the trolley is falling freely.That means the acceleration due to pseudo force will be equal to g( gravity)Now as the trolley falls freely it will experience a psedoforce in the opposite direction of its motion. MgsinA = Mg( MgsinA is due to inclined plane) Therefore. SinA = 1 or A = 90
Yuvii
15 Points
4 years ago
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 .
if m is the mass of system of trolley, 
then, component of weight along the inclined plane is 
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, 
 
for free falling on inclined plane, a =  along the plane.
so, 
 
 
hence, option (3) is correct
Kushagra Madhukar
askIITians Faculty 628 Points
3 years ago
Dear student,
Please find the answer to your question.
 
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 .
if m is the mass of system of trolley, 
then, component of weight along the inclined plane is 
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, 
for free falling on inclined plane, a =  along the plane.
hence, option (3) is correct
 
Thanks and regards,
Kushagra

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