Question:

Starting from rest, the time taken by a body sliding down on a rough inclined plane at $45^{\circ}$ with the horizontal is, twice the time taken to travel on a smooth plane of same inclination and same distance. Then the coefficient of kinetic friction is

Updated On: Aug 24, 2024
  • 0.25
  • 0.33
  • 0.5
  • 0.75
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is D

Solution and Explanation

$\mu=\tan \theta 1-\frac{1}{n^{2}}$
Here, $\theta=45^{\circ}$ and $n=2$
$\therefore \mu=\tan 45^{\circ} 1-\frac{1}{2^{2}}$
$=1-\frac{1}{4}=\frac{3}{4}=0.75$
Was this answer helpful?
0
1

Top Questions on Friction

View More Questions

Questions Asked in BITSAT exam

View More Questions

Concepts Used:

Friction

Friction is defined as the resistance offered by the surfaces that are in contact when they move past each other.

Types of Friction

There are four categories of Friction- static friction, sliding friction, rolling friction, and fluid friction. 

Sliding Friction

In Sliding Friction, the weight of the sliding object calculates the amount of sliding friction present between the two objects. The sliding friction is supposed to be greater as the pressure exerted by the heavy object on the surface it slides over is comparably more. 

Rolling Friction

Friction between a circular object and the surface is called as Rolling Friction. It is required to overcome sliding friction is more than the force required to overcome the rolling friction. 

Static Friction

Friction that keeps an object at rest without initiating any relative motion between the body and the surface is termed as Static Friction. For example, a parked car resting on the hill, a hanging towel on the rack. The maximum force of static friction is directly proportional to the normal force.

Fluid Friction

Fluid Friction is the kind of friction that is exerted by the fluid on the object that is moving through a fluid.