Q1.
a particle of mass 300 g is attached to one end of a light inextensible string of length 40 cm, the other end of the string being fixed at o on a smooth horizontal surface. if the particle describes a circle, centre o, find the tension in the string when:
(a) the speed of the particle is ms-1 (b) the angular speed of the particle is 5 rad/s
q2.
a car travels around a bend of radius 400 m on a road which is banked at an angle θ to the horizontal. if the car has no tendency to slip when travelling at 35 m/s, find θ.
q3.
a child standing on the floor of a balcony of a multi-storey building, throws a ball straight upwards with an initial velocity of 10 m/s. assume that the floor is 25 m high from the ground. take g=9.8 m/s2
find the
(i) maximum height above the ground reached by the ball (ii)
velocity with which the ball strikes the ground. q4.
a 10 kg trunk lies on a horizontal rough floor. the coefficient of friction between the trunk and the floor is . calculate the magnitude of the force p which is necessary to pull the trunk horizontally if the force p is applied:
(a) horizontally (b) at 30° above the horizontal