A block of mass m is equal to 5 kg is kept on a horizontal rough platform undergoing rotation if coefficient of friction between the block and the platform is 0.4 and block is rotating in a circle of radius 4 metre then it's possible time period maybe ?

Question

Answer

Calculation of Time Period of Block on Rotating Platform

Given: mass of block, m = 5 kg

Coefficient of friction, μ = 0.4

Radius of rotation, r = 4 m

Calculating Centripetal Force and Frictional Force

Centripetal force (F_c) = m * v² / r, where v is the velocity of the block

Frictional force (F_f) = μ * m * g, where g is the acceleration due to gravity

Calculating Maximum Velocity and Time Period

The maximum velocity is achieved when the centripetal force is equal to the frictional force

Equating F_c and F_f, we get: v = √(μ * g * r)

Time period (T) = 2πr / v

Substituting Values to Calculate Time Period

Substituting the given values, we get: v = √(0.4 * 9.8 * 4) = 3.136 m/s

Time period (T) = 2π * 4 / 3.136 = 7.97 seconds (approx)

Conclusion

The possible time period for the block on the rotating platform is approximately 7.97 seconds.

Answer

Similar NEET Doubts

On the horizontal surface of truck a block of mass 2 kg is placed and coefficient of friction between the block and surface is . If truck starts moving with acceleration 4 m/s² then frictional force on the block will be?

On the horizontal surface of a truck, a block of mass 2 kg is placed and the coefficient of friction between the block and surface is (μs = 0.6) truck starts moving with an acceleration 4 m/s2 , the frictional force on the block will be? (g = 10 m/s2)

A body of mass 2kg is drawn with a velocity of 2m/s on a horizontal table .if the coefficient of kinetic friction is 0.3 then calculate the heat produced in 5 sec. g=9.8 m /s^2 1)5. 2)10. 3)14. 4)28?

A block of mass m is kept on horizontal turntable at x distance from the centre. if coefficient of friction between block and surface of turntable is u, then maximum angular speed of the table so that block does not slip?

A block of mass 5 kg is placed on a horizontal surface with coefficient of friction 0.2 then maximum nd minimum value of force for which the block remains at rest?

Top Courses for NEETView all

Biology Class 11

Daily Test for NEET Preparation

NEET Mock Test Series 2025

Topic-wise MCQ Tests for NEET

Physics Class 11

Top Courses for NEET

Top Courses for NEET

Suggested Free Tests

Related Content

About NEET

NEET Preparation Material

How to Prepare for NEET Exam?

NCERT Based Study Material

NEET Mock Tests

Other Popular Exams

Company