Questions
A particle of mass m is released from rest and follows a parabolic path as shown in Fig. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?
detailed solution
Correct option is A
Restoring force F=-mg sin θEquation of curve y=cx2 tan θ=dydx=2cxFor small angle, sin θ=tan θ=2 cx F=-mg2 cx⇒F∝-xSince particle is executing SHM in a potential well after released from maximum displacement position.Talk to our academic expert!
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One end of an ideal spring is connected with a smooth block with the other end with rear wall of driving cabin of a truck as shown in figure. Initially, the system is at rest. If truck starts to accelerate with a constant acceleration ‘a’ , then the block (relative to truck ):
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