A 50 kg man is standing at the centre of...

A 50 kg man is standing at the centre of a 30 kg platform A. Length of the platform is 10 m and coefficient of friction between the platform and the horizontal ground is 0.2. Man is holding one end of a light rope which is connected to a 50 kg box B. The coefficient of friction between the box and the ground is 0.5. The man pulls the rope so as to slowly move the box and ensuring that he himself does not move relative to the ground. If the shoes of the man does not slip on the platform, calculate how much time it will take for the man to fall off the platform. Assume that rope remains horizontal, and coefficient of friction between shoes and the platform is 0.6.

Text Solution

Verified by Experts

The correct Answer is:

`t = sqrt((10)/(3))s `

Topper's Solved these Questions

MOMENTUM AND CENTRE OF MASS
ARIHANT|Exercise Momentum And Center of Mass|117 Videos
ROTATIONAL MOTION
ARIHANT|Exercise PHYSICS|159 Videos

Similar Questions

Explore conceptually related problems

A man is running on the ground .It is known that the coefficient of friction between the man and the ground is mu . Then which of the following statements is correct

A rope of length 30cm is on a horizontal table with maximum length hanging from edge A of the table. The coefficient of friction between the rope and table is 0.5 . The distance of centre of mass of the rope from A is

A horizontal force F pulls a 20 kg box at a constant speed along a rough horizotal floor. The coefficient of friction between the box and the floor is 0.25. The work done by force F on the block in displacing it by 2 m is

A heavy box of mass 20 kg is pulled on a horizontal force.If the coefficient of kinetic friction between the box and the horizontal surface is 0.25, find the force of friction exerted by horizontal surface on the box.

A man pulls a block of mass equal to himself with a light string .The coefficient of friction between the man and the floor is greater than that between the block and the floor

A man pulls a block heavier than himself with a lioght rope. The coefficient if friction is the same between the man and the ground, and between the block and the ground.

Two blocks of masses m_(1) and m_(2) are placed in contact with each other on a horizontal platform. The coefficient of friction between the platform and the two blocks is the same. The platform moves with an acceleration. The force of interaction between the blocks is :

A 20kg box is gently placed on a rough inclined plane of inclination 30^(@) with horizontal. The coefficient of sliding friction between the box and the plane is 0.5.Find the acceleration of the box down the incline.

ARIHANT-NEWTONS LAWS OF MOTION-All Questions

A triangular wedge A is held fixed and a block B is released on its in...
Text Solution
|
A block A is made to move up an inclined plane of inclinationtheta wit...
Text Solution
|
A 50 kg man is standing at the centre of a 30 kg platform A. Length of...
Text Solution
|
A wedge is placed on the smooth surface of a fixed incline having incl...
Text Solution
|
In the system shown in figure, all surfaces are smooth, pulley and str...
Text Solution
|
A block is placed on an incline having inclination theta . There is a ...
Text Solution
|
A wedge of mass m is placed on a horizontal smooth table. A block of m...
Text Solution
|
A rod is kept inclined at an angle theta with the horizontal A sleeve ...
Text Solution
|
In the arrangement shown in figure, a block A of mass m has been place...
Text Solution
|
A smooth rod is fixed at an angle alpha to the horizontal. A small rin...
Text Solution
|
In the system shown in figure all surfaces are smooth and string and p...
Text Solution
|
In the system shown in figure, the two springs S(1) "and" S(2) have fo...
Text Solution
|
A block of mass m = 1 kg is kept pressed against a spring on a rough h...
Text Solution
|
An experimenter is inside a uniformly accelerated train. Train is movi...
Text Solution
|
Two hemispheres of radii R and r(lt R) are fixed on a horizontal table...
Text Solution
|
In order to lift a heavy block A, an engineer has designed a wedge sys...
Text Solution
|
A 60 kg platform has been placed on a rough incline having inclination...
Text Solution
|
In the system show in figure, mass of the block placed on horizontal s...
Text Solution
|
In the arrangement shown in the figure, block A of mass 8 kg rests on ...
Text Solution
|
In the arrangement shown in figure, pulley and string are light. Frict...
Text Solution
|