Physics-

General

Easy

Question

# In the figure shown, the pulleys and strings are massless. The acceleration of the block of mass 4m just after the system is released from rest is

## The correct answer is:

### The FBD of blocks is as shown From Newton's second law 4mg – 2T cosq = 4 mA .... (1)

and T – mg = ma .... (2)

cosq = 5/4 and from constraint we get a = A cosq (3) Solving equation (1), (2) and (3) we get acceleration of block of mass 4m, a = 11/5g

### Related Questions to study

maths-

### If S and are two foci of an ellipse += 1 and P a point on it, then SP + P is equal to-

### If S and are two foci of an ellipse += 1 and P a point on it, then SP + P is equal to-

maths-General

physics-

### A cylinder rests in a supporting carriage as shown. The side AB of carriage makes an angle with the horizontal and side BC is vertical. The carriage lies on a fixed horizontal surface and is being pulled towards left with an horizontal acceleration 'a'. The magnitude of normal reactions exerted by sides AB and BC of carriage on the cylinder be respectively. Neglect friction everywhere. Then as the magnitude of acceleration 'a ' of the carriage is increased, pick up the correct statement:

### A cylinder rests in a supporting carriage as shown. The side AB of carriage makes an angle with the horizontal and side BC is vertical. The carriage lies on a fixed horizontal surface and is being pulled towards left with an horizontal acceleration 'a'. The magnitude of normal reactions exerted by sides AB and BC of carriage on the cylinder be respectively. Neglect friction everywhere. Then as the magnitude of acceleration 'a ' of the carriage is increased, pick up the correct statement:

physics-General

physics-

### In the figure shown, a person wants to raise a block lying on the ground to a height h. In both the cases if time required is same then in which case he has to exert more force. Assume pulleys and strings light.

### In the figure shown, a person wants to raise a block lying on the ground to a height h. In both the cases if time required is same then in which case he has to exert more force. Assume pulleys and strings light.

physics-General

physics-

### A rod of length is moving such that its ends A and B move in contact with the horizontal floor and vertical wall respectively as shown in figure. O is the intersection point of the vertical wall and horizontal floor. The velocity vector of the centre of rod C is always directed along tangent drawn at C to the –

### A rod of length is moving such that its ends A and B move in contact with the horizontal floor and vertical wall respectively as shown in figure. O is the intersection point of the vertical wall and horizontal floor. The velocity vector of the centre of rod C is always directed along tangent drawn at C to the –

physics-General

maths-

### The orthogonal projection of on are unit vectors along three mutually perpendicular directions )

### The orthogonal projection of on are unit vectors along three mutually perpendicular directions )

maths-General

maths-

### If S and are foci and A be one and of minor axis of ellipse += 1, then area of is-

### If S and are foci and A be one and of minor axis of ellipse += 1, then area of is-

maths-General

maths-

### Q is a point on the auxiliary circle corresponding to the point P of the ellipse = 1. If T is the foot of the perpendicular dropped from the focus S. onto the tangent to the auxiliary circle at Q then the SPT is -

### Q is a point on the auxiliary circle corresponding to the point P of the ellipse = 1. If T is the foot of the perpendicular dropped from the focus S. onto the tangent to the auxiliary circle at Q then the SPT is -

maths-General

physics-

### A bob is hanging over a pulley inside a car through a string. The second end of the string is in the hand of a person standing in the car. The car is moving with constant acceleration 'a' directed horizontally as shown in figure. Other end of the string is pulled with constant acceleration ' a ' vertically downward. The tension in the string is equal to :

### A bob is hanging over a pulley inside a car through a string. The second end of the string is in the hand of a person standing in the car. The car is moving with constant acceleration 'a' directed horizontally as shown in figure. Other end of the string is pulled with constant acceleration ' a ' vertically downward. The tension in the string is equal to :

physics-General

physics-

### Two blocks A and B of masses m & 2m respectively are held at rest such that the spring is in natural length. Find out the accelerations of both the blocks just after release:

### Two blocks A and B of masses m & 2m respectively are held at rest such that the spring is in natural length. Find out the accelerations of both the blocks just after release:

physics-General

physics-

### A light spring is compressed and placed horizontally between a vertical fixed wall and a block free to slide over a smooth horizontal table top as shown in the figure. The system is released from rest. The graph which represents the relation between the magnitude of acceleration ‘ a ‘ of the block and the distance ‘ x ‘ travelled by it (as long as the spring is compressed) is:

### A light spring is compressed and placed horizontally between a vertical fixed wall and a block free to slide over a smooth horizontal table top as shown in the figure. The system is released from rest. The graph which represents the relation between the magnitude of acceleration ‘ a ‘ of the block and the distance ‘ x ‘ travelled by it (as long as the spring is compressed) is:

physics-General

physics-

### A wire, which passes through the hole in a small bead, is bent in the form of quarter of a circle. The wire is fixed vertically on ground as shown in the figure. The bead is released from near the top of the wire and it slides along the wire without friction. As the bead moves from A to B, the force it applies on the wire is

### A wire, which passes through the hole in a small bead, is bent in the form of quarter of a circle. The wire is fixed vertically on ground as shown in the figure. The bead is released from near the top of the wire and it slides along the wire without friction. As the bead moves from A to B, the force it applies on the wire is

physics-General

physics-

### In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle null and that between the floor and the ladder is . The normal reaction of the wall on the ladder is and that of the floor is . If the ladder is about to slip, then

### In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle null and that between the floor and the ladder is . The normal reaction of the wall on the ladder is and that of the floor is . If the ladder is about to slip, then

physics-General

physics-

### A block of mass m is on an inclined plane of angle null. The block is held stationary by applying a force P parallel to the plane. The direction of force pointing up the plane is taken to be positive. As P is varied from

tothe frictional force f versus P graph will look like

### A block of mass m is on an inclined plane of angle null. The block is held stationary by applying a force P parallel to the plane. The direction of force pointing up the plane is taken to be positive. As P is varied from

tothe frictional force f versus P graph will look like

physics-General

physics-

### A mass ‘m’ is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?

### A mass ‘m’ is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?

physics-General

physics-

### Two fixed frictionless inclined planes making an angle and with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B ?

### Two fixed frictionless inclined planes making an angle and with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B ?

physics-General