A man thinks about 4 arrangements as shown to raise two small bricks each having mass m

Q1

A small ball of mass 2 g is attached to a string of length ℓ whose other end is fastened to an upright vertical rod fixed on a wooden board resting on a horizontal table. The combined mass of the board and rod is 1 kg. The friction coefficient between the board and the table is 

. The ball is released from rest with the string in a horizontal position. While the ball swings, the board does not move.

                                                       

What is minimum value that 

 must have to prevent the board from moving to left while the ball swings down ? Using necessary approximation, express your answer as  and find x.

Q2

A man thinks about 4 arrangements as shown to raise two small bricks each having mass m. Which of the arrangement would take minimum time?

Q3

A rectangular block weighing 150 N, is lying on a rough inclined plane with inclination angle 

 as shown in the figure. The block is tied up by a horizontal string which has a tension of 50 N to keep the block just in equilibrium, then the coefficient of friction between the block and the inclined surface is :

                                                              

Q4

A plank is held at an angle 

 to the horizontal (figure) on two fixed supportsA and B. The plank can slide against the supports (without friction) because of its weight Mg. With what acceleration and in what direction, a man of mass m should move so that the plank does not move.

                                                           

Q5

For the arrangement shown in figure the coefficient of friction between any two surfaces is 0.5. Which of the following graphs shows correct variation of frictional force/between the 2 kg block and floor with the applied force F. (Take leftward direction of F as positive)

                                                                  

Q6

A stationary body of mass m is slowly lowered on to a massive platform (M>> m) moving at a speed 

. If 

 is the co-efficient of friction between the body and the platform, the distance travelled by the body before it stops sliding, is

Q7

A rod AB is shown in figure. End A of the rod is fixed on the ground. Block is moving with velocity 

 towards right. The velocity of end B of rod when rod makes an angle of 

 with the ground is:

                                                              

Q8

The force acting on a particle of mass 1 kg, starting from rest from the origin, is shown in the figure. The velocity of the particle at x = 2 m is

                                                              

Q9

For the system shown in the figure, the tension in the string is T. The tension will become 2T by adding mass _____ on ______.

                                                                                

Q10

The minimum force P to be applied to the string so that block of mass m just begins to move up the frictionless plane will be :

                                                               

Try the new Google Books

Check out the new look and enjoy easier access to your favorite features

Q1

In the adjoining figure if acceleration of M with respect to ground is a, then,

                                           

Q2

A rectangular block weighing 150 N, is lying on a rough inclined plane with inclination angle 

 as shown in the figure. The block is tied up by a horizontal string which has a tension of 50 N to keep the block just in equilibrium, then the coefficient of friction between the block and the inclined surface is :

                                                

Q3

A plank is held at an angle 

 to the horizontal (figure) on two fixed supportsA and B. The plank can slide against the supports (without friction) because of its weight Mg. With what acceleration and in what direction, a man of mass m should move so that the plank does not move.

                                                   

Q4

For the arrangement shown in figure the coefficient of friction between any two surfaces is 0.5. Which of the following graphs shows correct variation of frictional force/between the 2 kg block and floor with the applied force F. (Take leftward direction of F as positive)

                                                  

Q5

A stationary body of mass m is slowly lowered on to a massive platform (M>> m) moving at a speed 

. If 

 is the co-efficient of friction between the body and the platform, the distance travelled by the body before it stops sliding, is

Q6

A rod AB is shown in figure. End A of the rod is fixed on the ground. Block is moving with velocity 

 towards right. The velocity of end B of rod when rod makes an angle of 

 with the ground is:

                                                      

Q7

The force acting on a particle of mass 1 kg, starting from rest from the origin, is shown in the figure. The velocity of the particle at x = 2 m is

                                                        

Q8

For the system shown in the figure, the tension in the string is T. The tension will become 2T by adding mass _____ on ______.