Home
Class 12
PHYSICS
A small block is resting on an inclined ...

A small block is resting on an inclined plane (co-efficient of friction `mu gt tan theta`) as shown in the figure. The inclined plane is given a constant horizontal acceleration 'a' towards right.

(a) Find the range of 'a' such that the bock does not slide on the plane.
(b) Find the value of 'a' such that the firction force between the block and the plane is zero.

Text Solution

Verified by Experts

The correct Answer is:
`0 " to " (mu+tan theta)/(1-mu tan theta).g, a=g tan theta`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (Level-II & III)|18 Videos

  • LAWS OF MOTION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (Level - 1)|50 Videos

  • LAWS OF MOTION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (Level-I)(True/False)|2 Videos

  • KINEMATICS

    FIITJEE|Exercise NUMERICAL BASED QUESTIONS DECIMAL TYPE|5 Videos

  • MAGNETIC

    FIITJEE|Exercise Numerical Based Type|2 Videos

Similar Questions

Explore conceptually related problems

A block is stationary on an inclined plane If the coefficient of friction between the block and the plane is mu then .

A block of mas M is resting on an inclined plane as shown in the figure. The inclination of the plane to the horizontal is gradually increased. It is found that when the angle of inclination is theta the block just begins to slide down the plane. What is the minimum force F applied parallel to the plane that would just make the block move up the plane ?

A small block of mass m is tied to the top of a smooth inclined plane with the help of a string of length L as shown in the figure. The inclined plane of inclination theta with horizontal is rotated with an angular velocity omega about a verticle axis passing through the end of the string fixed to the plane. (a) Find the maximum value of omega so that the block maintains contact with the inclined plane. (b) Find the ratio of the tension in the string and the normal reaction between the block and the plane.

A block of mass m = 3 kg slides on a rough inclined plane of cofficient of friction 0.2 Find the resultant force offered by the plane on the block

In if the inclined plane is not accelerating and the block is then sliding down the plane, force exerted by the block on the plane is:

A block of mass 4kg rests on an an inclined plane. The inclination of the plane is gradually increased. It is found that when the inclination is 3 in 5 (sin=theta(3)/(5)) the block just begins to slide down the plane. The coefficient of friction between the block and the plane is.

A block of mass m is placed over rough inclined plane having inclination 30^(@) .The co-efficient of friction between the block and inclined plane is 0.75.The contact force on the block is x/4mg . Find the value of x