Obtain an expression for the linear acceleration of a particle in UCM.

For a particle performing uniform circular motion vec(v)=vec(omega)xxvec(r) . Obtain an expression for linear acceleration of the particle performing non-uniform circular motion.

In circular motion, assuming barv=barwxxbar r , obtain an expressio for the resultantj acceleration of a particle in terms of tangential and radial component.

Write an expression for the resultant acceleration of a particle having non-uniform circular motion.

Derive an expression for the instantaneous acceleration of a particle executing S.H.M. Find the position where acceleration is maximum and where it is minimum.

Obtain an expression for the kinetic energy of a particle performing linear SHM. State how it depends upon the amplitude, frequency and period of SHM.

Obtain an expression for the acceleration of a body sliding down a rough inclined plane.

Derive an expression for instantaneous velocity and acceleration of a particle executing simple harmonic motion.

In the previous problem, if the particle occupies a position x=7m at t=1s , then obtain an expression for the instantaneous displacement of the particle.

Find the magnitude of the linear acceleration of a particle moving in a circle of radius 10 cm with uniform speed completing the circle in 4s.