An inclined plane makes an angles  with the horizontal. A groove OA=5m cut in the plane makes an angle  with OX. A short smooth cylinder is free to slide down the influence of gravity. The time taken by the cylinder to reach from A to O is 

The general value of  satisfies the equation  is

A block of weight W is suspended by a string of fixed length. The ends of the string are held at various positions as shown in the figures below. In which case, if any, is the magnitude of the tension along the string largest?

If  then the general solution of x=

An ideal string is passing over a smooth pulley as shown. Two blocks  and  are connected at the ends of the string. If  = 1 kg and tension in the string is 10 N, mass m₂ is equal to 

; then the general solution of A=

Three forces ,  and  act on an object simultaneously. These force vectors are shown in the following free-body diagram. In which direction does the object accelerate?

The general solution of  is

If  then x = - ....

Sin²x + Cos²x = 1

The general solution of  i

tan ( A - B) = tan A - tan B / 1 + tan A. tan B

If  then

The most general value of  satisfying the equations  is

The smallest value of  satisfying the equation  IS

If  and  is acute then 

If  then x=

The adjoining figure shows a force of 40 N pulling a body of mass 5 kg in a direction  above the horizontal. The body is in rest on a smooth horizontal surface. Assuming acceleration of free-fall is 10 . Which of the following statements I and II is/are correct?

I) The weight of the 5 kg mass acts vertically downwards

II) The net vertical force acting on the body is 30 N.