How a battery is to be connected so that the shown rheostat will behave like a potential divider? Also indicate the points about which output can be taken. .

Obtain an expression for the maximum speed with which a car can turn safely on a banked road.

Let r be the distance of a particle from a fixed point to which it is attracted by an inverse square law force given by F=k//r^2 (k=constant). Let m be the mass of the particle and L be its angular momentum with respect to the fixed point. Which of the following formulae is correct about the total energy of the system?

A ball is whirled in a circle by attaching it to a fixed point with a string. Is there an angular rotation of the ball about its centre? If yes, is this angular velocity equal to the angular velocity of the ball about the fixed point?

The standard fixed point for temperature measurements in use today is

The diagram alongside shows a lever in use : To which class of levers does it belong ?

The diagram below shows a lever in use : To which class of levers does it belong ?

A fixed point P is given. How many rays can be drawn with P as initial point?

A particle, held by a string whose other end is attached to a fixed point C, moves in a circle on a horizontal frictionless surface. If the string is cut, the angular momentum of the particle about the point C

A rigid body is spinning about a fixed point (3,-2,-1) with an angular velocity of 4 rad/s, the axis of rotation being in the direction of (1,2,-2). Find the velocity of the particle at point (4,1,1).