Determine the maximum acceleration of the train in which a box lying on its floor will remain stationary. Given that the coefficient of static friction between the box and train's floor is 0.16.

Figure 5.18 shows a man standing stationary with respect to a horizontal conveyor belt that is accelerating with 1 m s^-2 . What is the net force on the man? If the coefficient of static friction between the man’s shoes and the belt is 0.2, up to what acceleration of the belt can the man continue to be stationary relative to the belt ? (Mass of the man = 65 kg.)

A bend in a level road has radius of 100 m.Find the maximum speed with which a car turning this bend may have without skidding ,if the coefficient of friction between the tyres and road is 0.8.

The rear side of a truck is open and a box of 40 kg mass is placed 5 m away from the open end as shown. The coefficient of friction between the box and the surface below its is 0.15. On a straight road, the truck starts from rest and accelerates with 2 ms^-2 . At what distance from the starting point does the box fall off the truck ?/ (Ignore the size of the box).

The rear side of a truck is open and a box of 40 kg mass is placed 5 m away from the open end as shown in Fig. 5.22. The coeffcient of friction between the box and the surface below it is 0.15. On a straight road, the truck starts from rest and accelerates with 2 m s^-2 . At what distance from the starting point does the box fall off the truck? (Ignore the size of the box).

A 70 kg man stands in contact against the ineer wall of a hollow cylindrical drum of radius 3 m rotating about its vertical axis with 200 rev//min . The coeffcient of friction between the wall and his clothing is 0.15. What is the minimum rotational speed of the cylinder to enable the man of remain stuck to the wall ( without falling) when the floor ids suddenly removed?

Give the magnitude and direction of the net force acting on a stone of mass 0.1kg:- lying on the floor of a train which is accelerating with 1 m s^-2 , the stone being at rest relative to the train.Neglect air resistance throughout.

A block of mass 15 kg is placed on a long trolley. The coeffcient os static friction between the block and the trolley is 0.18. The trolley accelerates from rest with 0.5 m s^-2 for 20 s and then moves with uniform velocity. Discuss the motion of the block as viewed by:- a stationary observer on the ground.

A rectangular box lies on a rough incli ned surface. The co-efficient of friction between the surface and the box is mu. Let the mass of the box is be m. What is the force needed to be applied upwards along the plane to make the box either remains stationary or just move up with unifrom speed?