A particle of mass M has an acceleration of `3m//s^2` in the Y direction. Find the acceleration of centre of mass.

Define centripetal force.A particle of mass m is rotating around a circular path of radius r. Find the centripetal acceleration of the particle and the magnitude and direction of the centripetal force acting on it.

A particle moves in the x-y plane with constant acceleration of 4 "m.s"^(-2) in the direction making an angle of 60^(@) with the x-axis. Initially, the particle is at the origin and its velocity is 5 "m.s"^(-1) along the x-axis. Find the velocity and the position of the particle at t = 5s.

A block of mass m_(1) kg accelerates at 10 m cdot s^(-2) when a force of 10 N acts on it. Another block of mass m_(2) kg accelerates at 5 m cdot s^(-2) when the same force acts on it. Find the acceleration if both the blocks are tied together and same force acts on the combination.

A force of 5 N gives a mass m_(1) an acceleration of 8m//s^(2) and a mass m_(2) an accleration of 24 m//s^(2) . What acceleration would it give if both the masses are tied together?

Three forces F_1 F_2 , F_3 of which F_2 and F_3 are mutually perpendicular act on a particle of mass m so that the particle is stationary. Find the acceleration of the particle when F_1 is withdrawn.

Three force F_(1), F_(2), F_(3) -of which F_(2) and F_(3) are mutually perpendicular__ act on a particle of mass m so that the particle is stationary. Find the acceleration of the particle when F_(1) is withdrawn.

From the top of a tower, two particles are dropped at an interval of 2 s . Find the relative velocity and relative acceleration of the particles during the fall . Acceleration due to gravity =g cm*s^(-2) .