Question

# A body is moving down an inclined plane of slope $$\displaystyle 37^{\circ}.$$ The coefficient of friction between the body and the plane varies as $$\displaystyle \mu = 0.3 x,$$ where x is the distance traveled down the plane by the body. The body will have maximum speed. $$\displaystyle \left ( \sin 37^{\circ}= \frac{3}{5} \right )$$

A
at x=1.16m
B
at x=2m
C
at bottommost point of the plane
D
at x=2.5m

Solution

## The correct option is C at x=2.5mvelocity will be maximum when $$\dfrac{dv}{dt}=0$$. i.e $$a=0$$$$gsin\theta = \mu g cos\theta$$$$tan\theta = \mu =0.3x = 0.75$$$$x = 2.5$$ mPhysics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More