A block of mass m=6kg sits on a plank of mass M=10kg which lies on a smooth surface. The coefficient of friction between the block and the plank is `mu` =0.5. At t=0,a time dependent force F = 2t starts to act on the plank ( t is in seconds).If the block starts to slip on the plank at n seconds, then find the value of n ? ` (g=10m/s^(2))`

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

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 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 block of mass 1 kg lies on a horizontal surface in a truck. The coefficient of static friction between the block and the surface is 0.6. If the acceleration of the truck is 5m//s^2 , the frictional force acting on the block is…………newtons.

A small block of mass 1kg is placed over a plank of mass 2kg. The length of the plank is 2 m. coefficient of friction between the block and the plnak is 0.5 and the ground over which plank in placed is smooth. A constant force F=30N is applied on the plank in horizontal direction. the time after which the block will separte from the plank is (g=10m//s^(2))

A block of mass m is gently placed over a massive plank moving horizontal over a smooth surface with velocity 10 ms^(-1) . The coefficient of friction between the block and the plank is 0.2. The distance travelled by the block till it slides on the plank is [g = 10 ms^(-2)]

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