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 

A man thinks about 4 arrangements as shown to raise two small bricks each having mass m
. The ball is released from rest with the string in a horizontal position. While the ball swings, the board does not move.

                                                       

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

What is minimum value that 

A man thinks about 4 arrangements as shown to raise two small bricks each having mass m
 must have to prevent the board from moving to left while the ball swings down ? Using necessary approximation, express your answer as 
A man thinks about 4 arrangements as shown to raise two small bricks each having mass m
 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 

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

                                                              

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

Q4

A plank is held at an angle 

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

                                                           

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

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)

                                                                  

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

Q6

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

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

A man thinks about 4 arrangements as shown to raise two small bricks each having mass m
 towards right. The velocity of end B of rod when rod makes an angle of 
A man thinks about 4 arrangements as shown to raise two small bricks each having mass m
 with the ground is:

                                                              

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

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

                                                              

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

Q9

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

                                                                                

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

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 :

                                                               

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

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

Q1

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

                                           

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

Q2

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

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

                                                

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

Q3

A plank is held at an angle 

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

                                                   

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

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)

                                                  

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

Q5

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

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

A man thinks about 4 arrangements as shown to raise two small bricks each having mass m
 towards right. The velocity of end B of rod when rod makes an angle of 
A man thinks about 4 arrangements as shown to raise two small bricks each having mass m
 with the ground is:

                                                      

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

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

                                                        

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

Q8

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

                                                       

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