Two rings A B are of radius R each Ring A is at rest while

5 A simple pendulum is constructed by attaching a bob of mass m to a string of length L fixed at its upper end The bob oscillates in a vertical circle It is found that the speed of the bob is v when the string makes an angle e with the vertical Find the tension in the string at this instant

Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities 01 and 02 They are brought into contact face to face coinciding the axis of rotation The expression for loss of energy during this process is 1 1 01 002 3 01 0 8 2 1 01 02 4 1 0

For a particle in uniform circular motion the acceleration a at a point P R 0 on the circle of radius R is Here 0 is measured from the x axis 1 2 3 4 R i cos0i sin 0j R R R R sin 0i V cosei cos Oj R sin Oj

44 A car is moving at a speed of 40 m s on a circular track of radius 400 m This speed is increasing at the rate of 3 m s2 The acceleration of car is 1 4 m s 2 7 m s2 3 5 m s

the following option is not correct for inelastic collision The velocity of both the particles may be same after the collision 2 Kinetic energy is not conserved 3 Linear momentum of the system is conserved Velocity of seperation may be greater than velocity of approach

3 6 5 A man of 50 kg mass is standing in a gr space at a height of 10 m above the floor H throws a stone of 0 5 kg mass downwards with speed 2 m s When the stone reaches the flo the distance of the man above the floor will be 1 20 m 3 10 1 m kg Best 2 9 9 m 4 10 m JON C

A particle P is moving in a circle of radius r with uniform speed v C is the centre of the circle and AB is diameter The angular velocity of P about A and C is in the ratio 1 4 1 3 1 2 2 2 1 4 1 1

A body of mass 1 kg is moving in a vertica circular path of radius 1 m The differenc between the kinetic energies at its highest an lowest position is 1 20 J FI 2 10 J 4 106 5 1 J

A particle has initial velocity V i j and a constant force F i j acts on the particle The path of the particle is 1 straight line 3 circular 2 parabolic 4 elliptical

which of the coins will revolve with the 38 You may have seen in a circus a motorcyclist driving in vertical loops inside a death well a hollow spherical chamber with holes so the spectators can watch from outside Explain clearly why the motorcyclist does not drop down when he is at the uppermost point with no support from below What is the minimum speed required at the uppermost position to perform a vertical loop if the radius of the chamber is 25 m