A vertical rod is hit at one end. What kind of wave propagates in the rod if (a) the hit is made vertically (b) the hit is made horizontally ?

A heavy iron rod of weight 'W' is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle 'theta' with the horizontal. What is the weight experienced by the man ?

A capillary tube of radius 1 mm is kept vertical with the lower end in water. (a) Find the height of water raised in the capillary. (b) If the length of the capillary tube is half the answer of part (a), find the angle theta made by the water surface in the capillary with the wall.

A block of mass m is kept on a horizontal ruler . The friction coefficient between the ruler and the block is mu . The ruler is fixed at one end the block is at a distance L from the fixed end . The ruler is rotated about the fixed end in the horizontal plane through the fixed end a. What can the maximum angular speed be for which the block does not slip? b. If the angular speed of the ruler is uniform increase from zero at an angular acceleration a at angular speed will the block slip?

How would the time period of a spring mass system change, when it is made to oscillate horizontally and then vertically?

A string of linear mass density 0.5 g cm^-1 and a total length 30 cm is tied to a fixed wall at one end and to a frictionless ring at the other end. The ring can move on a vertical rod. A wave pulse is produced on the string which moves towards the ring at a speed of 20 cm s^-1 . The pulse is symmetric about its maximum which is located at a distance of 20 cm from the end joined to the ring. (a) Assuming that the wave is reflected from the ends without loss of energy, find the time taken by the string to regain its shape. (b) The shape of the string changes periodically with time. Find this time period. (c) What is the tension in the string ?

A metre stick weighing 240 g is pivoted at its upper end in such a way that it can freely rotate in a vertical plane through this end figure. A particle of mass 100 g is attached to the upper end of the stick through a light sting of length 1 m. Initially the rod is kept veritcal and the string horizontal when the system is released from rest. The particle colides with the lower end of the stick and sticks there. Find the maximum angle through which the stick will rise.

In a children's park a heavy rod is pivoted at the centre and is made to rotate about the pivot so that the rod always remains horizontal. Two kids hold the rod near the ends and thus rotate with the rod figure. Let the mas of each kid be 15 kg, the distance between the points of the rod where the two kids hold it be 3.0 m and suppose that the rod rotates at the rate of 20 revolutions per minute. Find the force of friction exerted by the rod on one of the kids.

The bob of a pendulum at rest is given a sharp hit to impart a horizontal velocity sqrt(10 gl) where l is the length of the pendulum. Find the tension in the string when a. the string is horizontal. B. The bob is at its highest point and c. the string makes an angle of 60^0 with the upward vertical.

one end of a spring of natural length h and spring constant k is fixed at the ground and the other is fitted with a smooth ring of mass m which is allowed to slide on a horizontal rod fixed at a height h figure. Initially, the spring makes an angle of 37^0 with the vertical when the system is released from rest. find the speed of the ring when the spring becomes vertical.

Shows a conducting circular loop radius a placed in a uniform, perpendicular magnetic field B. A metal rod OA is pivoted at the centre O of the loop. The other A of the rod touches the loop. The rod OA and the loop are resistanceless but a resistor having a resistance R is connected between O and a fixed point C on the loop . the rod OA is made to rotate anticlockwise at a small but uniform angular speed omega by an external force. Find (a) the current in the resistance R and (b) the torque of the external force needed ot keep the rod rotating with the constant angular velocity omega.