Block of mass m rests on the plank B of mass 3m which is free to slide on a frictionless horizontal surface. The coefficient of friction between the block and plank is 0.2. If a horizontal force of magnitude 2 mg is applied to the plank B, the acceleration of A relative to the plank and relative to the ground respectively, are

A bolck of mass m =2 kg is placed on a plank of mass M = 10 kg, which is placed on a smooth horizontal plane as shown in the figure. The coefficient of friction between the block and the plank is mu=(1)/(3) . If a horizontal force F is applied on the plank, then the maximum value of F for which the block and the plank move together is (g=10m//s^(2))

A block of mass m=2kg of shown dimensions is placed on a plank of mass M = 6Kg which is placed on smooth horizontal plane. The coefficient of friction between the block and the plank is mu=1/3 . If a horizontal froce F is applied on the plank, then find the maximum value of F (in N) for which the block and the plank move together

A block A of mass m is over a plank B of mass 2m . Plank B si placed over a smooth horizontal surface. The coefficient of friction between A and B is (1)/(2) . Blocks A is given a velocity V_(0) towards right. Then

A bar of mass m_(1) is placed on a plank of mass m_(2) which rests on a smooth horizontal plane . The coefficient of friction between the surfaces of bar and plank is k . The plank is subjected to a horizontal force F depending on time t as F = at , where a is a constant . The moment of time t_(0) at which the plank starts sliding is :

A block A of mass m is placed over a plank B of mass 2m. Plank B is placed over a smooth horizontal surface. The coefficient of friction between A and B is (1)/(2) block A is given a velocity v_(0) towards right. Accelration of B relative to A is

A plank of mass 3m is placed on a rough inclined plane and a man of mass m, the coefficient of friction between the board and inclined plane is mu = 0.5 , the minimum acceleration of man so that plank does not slide is :

A block A of mass m is placed over a plank B of mass 2m plank B is placed over a smooth horizontal surface .The coefficient of friction between A and B is 0.4 Block A is given a velocity v_(0) toward right Find acceleration (in ms^(-2) of B relative to A

A solid sphere of mass m and radius R is placed over a plank of same mass m . There is sufficient friction between sphere and plank to prevent slipping. When a horizontal force F is applied at centre of sphere, acceleration of the plank is

A block is kept on a rough horizontal plank. The coefficient of friction between the block and the plank is 1/2 . The plank is undergoing SHM of angular frequency 10 rad/s. The maximum amplitude of plank in which the block does not slip over the plank is (g= 10 m/ s^(2) )