A plank with a body of mass `m` placed on it starts moving straight up according to the law `y = a(1 - cos omega t)`, where `y` is the displacement from the initial position, `omega = 11 rad//s`. Find
(a) The time independence of the force that the body exerts on the plank.
(b) The minimum amplitude of oscillations of the plank at which the body starts falling behind the plank.

A plank with a body of mass m places on it starts moving straight up according to the law y=a(1-cos omegat t ) , whee y is the displacement from the initial position, omega =11 s^(-1) . Find : (a) the time dependence of the force that the body exerts on the plank if a=4.0cm, plot this dependence, (b) the minimum amplitude of oscillation of the plank atwhich the body starts falling behind the plank, (c) the amplitude of oscillation of the plank at which the body springs up to a height h=50cm relative to the initial position (at the moment t=0) .

A point moves in the plane xy according to the law x=a sin omegat , y=a(1-cos omega t) , where a and omega are positive constants. Find: (a) the distance s traversed by the point during the time tau ,

A plank with a bar placed on it performs horizontal harmonic oscillations with amplitude a=10cm . Find the coefficient of friction between the bar and the plank if the former starts sliding along the plank when the amplitude of oscillation of the plank becomes less than T=1.0 s .

A plank with a bar placed on it performs horizontal harmonic oscillations with amplitude a=10cm . Find the coefficient of friction between the bar and the plank if the former starts sliding along the plank when the amplitude of oscillation of the plank becomes less than T=1.0 s .