A car wheel is rotated to uniform angular acceleration about its axis .Initially its angular velocity is zero. It rotates through an angle θ₁ in the first 2s, in the next 2s,it rotates through an […]
Two wheels having radii in the ratio 1:3 are connected by a common belt. If the smaller wheel is accelerated from rest at a rate 1.5 rad s⁻² for 10 s.the velocity of bigger wheel […]
A hemispherical bowl of radius R is rotating about its axis of symmetry which is kept vertical.A small ball kept in the bowl rotates with the bowl without sliiping on its surface.If the surface of […]
A heavy stone hanging from a massless string of length 15 m is projected horizontally with speed 147 ms⁻¹.The speed of the particle at the point where the tension in the string equals the weight […]
A motorcycle moving with a velocity 72 kmh⁻¹ on a flat road takes a turn on the road at a point where the radius of curvature of the road is 20 m,the acceleration due to […]
The string of a pendulum is horizontal.The mass of bob attached to it is m.Now, the string is released.The tension in the string in the lowest position is
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(a) mg (b) 2 […]
A solid body rotates about a stationary axis, so that its angular velocity depends on the rotation angle ? as ?= ?￢ﾂﾒ – k ?, where ?￢ﾂﾒ and k are positive constants.At the moment t=0, […]
A body is hanging from a rigid support by an inextensible string of length l.It is struck inelastically by an identical, body of mass m with horizontal velocity v=√2g l, the tensions in the string […]
When a ceiling fan is switched off its angular velocity reduces to 50% while it makes 36 rotations. How many more rotation will it make before coming to rest?(assume uniform angular retardation)
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A cyclist is riding with a speed of 27 km/h.As he approaches a circular turn on the road of radius 80 m,he applies brakes and reduces his speed at the constant rate of 0.5 m/s […]
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