A particle oscillating under a force `vecF=-kvecx-bvecv` is a (k and b are constants)

A particle oscillating under a force vecF=-k vecx- b vec v is a (k and b are constants)

A particle of mass m is attached to three springs A,B and C of equal force constants k as shown in figure. If the particle is pushed slightly against the spring C and released, find the time period of oscillation.

A particle of mass m is attached to three springs A,B and C of equal force constants k as shown in figure. If the particle is pushed slightly against the spring C and released, find the time period of oscillation.

Show that the angular momentum of a particle under the action of the force vec(F) = k vec(r ) is conserved , where K is a constant quantity.

Aparticle of mass m oscillating as given by U(y) =K|y|^(3) with force constant K has an amplitude A . The maximum velocity during the oscillation is proportional to

For a damped oscillator which follow the equation vecF=-kvecx-bvecV the mass of the block is 100 gm K=100N/M and the damping constant is 20 gm/sec. thhen find the time taken for its mechanical energy to drop to one-fourth of its initial value.

For a damped oscillator which follow the equation vecF=-kvecx-bvecV the mass of the block is 100 gm K=100N/M and the damping constant is 20 gm/sec. thhen find the time taken for its mechanical energy to drop to one-fourth of its initial value.

Let vecu be the initial velocity of a particle and vecF be the resultant force acting on it . Describe the path that the particle can take if (a) vecu xx vecF = 0 "and" vecF = "constant" (b) vecu.vecF = 0 "and" vecF = "constant" In which case can the particle retrace its path .