Motion in a Pla...

A boy on a cycle pedals around a circle of 20 m radius at a speed of 20 m/sec. The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that is may not fall is (g = 9.8 m/s²)

The average acceleration vector for a particle having a uniform circular motion is

Radius of the curved road on national highway is R. Width of the road is b. The outer edge of the road is raised by h with respect to inner edge so that a car with velocity v can pass safe over it. The value of h is

The magnitude of the centripetal force acting on a body of mass m executing uniform motion in a circle of radius r with speed v is

A string breaks if its tension exceeds 10 N. A stone of mass 250 gm tied to this string of length 10 cm is rotated in a horizontal circle. The maximum angular velocity of rotation can be

A ball of mass 0.25 kg attached to the end of a string of length 1.96 m moving in a horizontal circle. Te string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved?

A body of mass 5 kg is moving in a circle of radius 1 m with an angular velocity of 2 radian/sec. The centripetal force is

If a particle of mass m moving in a horizontal circle of radius r with a centripetal force (–k/r²), the total energy is

A stone of mass 16 kg is attached to a string 144 m long and is whirled in a horizontal circle. The maximum tension the string can withstand is 16N. The maximum velocity of revolution that can be given to the stone without braking it, will be

A circular road of radius 1000 m has banking angle 45^o. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between type and road is 0.5