A small block of mass m rests on a smoot...

A small block of mass m rests on a smooth wedge of angle `theta`. With what horizontal accelaration a should the wedge be pulled, as shown in fig, so that the block falls freely?

`g`

`g cos theta`

`g cot theta`

`g tan theta`

Text Solution

Verified by Experts

The correct Answer is:

`(a)/(g) = cot theta`

`:. a= g cot theta`

Topper's Solved these Questions

LAWS OF MOTION
DC PANDEY|Exercise Objective Question|32 Videos
LAWS OF MOTION
DC PANDEY|Exercise Comprehension|9 Videos
LAWS OF MOTION
DC PANDEY|Exercise Exercise 8.5|2 Videos
KINEMATICS 1
DC PANDEY|Exercise INTEGER_TYPE|15 Videos
LAWS OF THERMODYNAMICS
DC PANDEY|Exercise Level 2 Subjective|18 Videos

Similar Questions

Explore conceptually related problems

A block of mass m lies on wedge of mass. Mas shown in figure. With what minimum acceleration must the wedge be moved towared right horizontally so that block m falls freely.

A block of mass 1.0 kg rests on a wedge of angle theta . The acceleration which should be given to the wedge so that the block falls freely is :

A block is placed on a smooth wedge of inclination angle theta with the horizontal. What minimum acceleration should be given to the wedge in the horizontal direction so that the block starts moving up along the incline?

A block of mass m resting on a wedge of angle theta as shown in the figure. The wedge is given an acceleration a. What is the minimum value of a so that the mass m falls freely ?

A block of mass m is placed at rest on a smooth wedge of mass M placed at rest on a smooth horizontal surface. As the system is released

A block of mass m is placed on a smooth wedge of wedge angle theta The whole system is accelerated horizontally so that the block does not slip on the wedge. The force (normal reaction) exerted by the wedge on the block has a magnitude:

A block of mass m rests on a stationary wedge of mass M. The wedge can slide freely on a smooth horizontal surface as shown in figure. If the block starts from rest

A block of mass m is at rest on a rought wedge as shown in figure. What is the force exerted by the wedge on the block?

A block of mass mlies on wedge of mass M as shown in figure. Answer following parts separately. (a)Withwhat minium acceleration must the wedge be moved towards right horizontally so that block m falls freely. ( b)Find the minimum friction coefficient required between wedge M and ground so that it does not move while block m slips down on it.

A wedge of mass M makes an angle theta with the horizontal. The wedge is placed on horizontal frictionless surface. A small block of mass m is placed on the inclined surface of wedge. What horizontal force F must be applied to the wedge so that the force of friction between the block and wedge is zero ?

DC PANDEY-LAWS OF MOTION-Single Correct

A smooth block of mass m is held stationary on a smooth wedge of mass ...
Text Solution
|
Two blocks of masses m(1) and m(2) are placed in contact with each oth...
Text Solution
|
A small block of mass m rests on a smooth wedge of angle theta. With w...
Text Solution
|
To a ground observer the block C is moving with u(0) and the block A w...
Text Solution
|
In each case m(1) = 4 kg and m(2) = 3 kg. If a(1) and a(2) and a(3) ar...
Text Solution
|
For the arrangement shown in the figure the coefficient of friction be...
Text Solution
|
In the figure shown find relation between magnitudes of a(A) and a(B).
Text Solution
|
In the figure block moves downwards with velocity v(1), the wedge righ...
Text Solution
|
In the figure the minimum value of a at which the cylinder starts risi...
Text Solution
|
When the trolley show in figure is given a horizontal acceleration a, ...
Text Solution
|
In the arrangement shown in the figure the mass M is very heavy compar...
Text Solution
|
A block rests on a rough plane whose inclination theta to the horizont...
Text Solution
|
The minimum value of mu between the two blocks for no slipping is
Text Solution
|
A block is sliding along an inclined plane as shown in figure . If the...
Text Solution
|
In the figure the wedge is pushed with an acceleration of sqrt3 m//s ^...
Text Solution
|
Two block A and B are separted by some distance and tied by a string a...
Text Solution
|
All the surface and pulleys are frictionless in the shown arrangement....
Text Solution
|
Two blocks of 2 kg and 4 kg are connected by a light string and kept o...
Text Solution
|
A smooth rod length l is kept inside a trolley at an angle theta as sh...
Text Solution
|
A car begains from rest at time t = 0, and then acceleration along a s...
Text Solution
|