Question

Block A of mass m is placed over a wedge B of same mass m. Assuming all surfaces to be smooth. The displacement of block A in 1 s if the system is released from rest is

## The correct answer is:

### Related Questions to study

### If and then the are

### If and then the are

In the figure shown block B moves down with a velocity 10 m/s. The velocity of A in the position shown is

In the figure shown block B moves down with a velocity 10 m/s. The velocity of A in the position shown is

### If then the G S of =

### If then the G S of =

### A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of with the ground. A monkey of mass 5 kg climbs up the rope. The clamp can tolerate a vertical force of 40 N only. The maximum acceleration in upward direction with which the monkey can climb safely is (neglect friction and take ):

### A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of with the ground. A monkey of mass 5 kg climbs up the rope. The clamp can tolerate a vertical force of 40 N only. The maximum acceleration in upward direction with which the monkey can climb safely is (neglect friction and take ):

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

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

### 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?

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=

### 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 m_{2} is equal to

### 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 m_{2} is equal to

### ; then the general solution of A=

### ; 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?

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

### The general solution of is

### If then x = - ....

11 sin

^{2}x + 7 cos

^{2}x = 8 .

Or, 11 sin

^{2}x + 7 ( 1 - sin

^{2}x) = 8 .

Or, 11 sin

^{2}x + 7 - 7sin

^{2}x = 8 .

Or, 11sin

^{2}x - 7 sin

^{2}x = 8 - 7 .

Or, 4sin

^{2}x = 1

Or, sin

^{2}x = 1/4

Or, Sin

^{2 }x= Sin

^{2 }π/6

x = π/6

Hence, the correct option is (c).

### If then x = - ....

11 sin

^{2}x + 7 cos

^{2}x = 8 .

Or, 11 sin

^{2}x + 7 ( 1 - sin

^{2}x) = 8 .

Or, 11 sin

^{2}x + 7 - 7sin

^{2}x = 8 .

Or, 11sin

^{2}x - 7 sin

^{2}x = 8 - 7 .

Or, 4sin

^{2}x = 1

Or, sin

^{2}x = 1/4

Or, Sin

^{2 }x= Sin

^{2 }π/6

x = π/6

Hence, the correct option is (c).

### The general solution of i

Tan 2x - Tan x / 1 + Tan x. Tan 2x = 1 .

Or, Tan (2x - 1 ) = 1 .

Or, Tan x = 1 .

Hence, the correct option is (d).

### The general solution of i

Tan 2x - Tan x / 1 + Tan x. Tan 2x = 1 .

Or, Tan (2x - 1 ) = 1 .

Or, Tan x = 1 .

Hence, the correct option is (d).

### If then

then = 0

### If then

then = 0