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.

A sphere of mass m is kept in equilibrium with the help of several springs as shown in the figure. Measurement shows that one of the springs applies a force   on the sphere. With what acceleration the sphere will move immediately after this particular spring is cut?

If you want to pile up sand onto a circular area of radius R. The greatest height of the sand pile that can be erected without spilling the sand onto the surrounding area, if  is the coefficient of friction between sand particle is

Two forces are simultaneously applied on an object. What third force would make the net force to point to the left (–x direction) ?

A car is going at a speed of 6 m/s when it encounters a 15 m slope of angle  . The friction coefficient between the road and tyre is 0.5. The driver applies the brakes. The minimum speed of car with which it can reach the bottom is