An inclined plane is bent in such a way that | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The condition for a block to remain stationary on an inclined plane is that the angle of inclination $	heta$ must be less than or equal to the an

Vedclass · Accepted Answer

$25$

Vedclass · Answer

(B) The condition for a block to remain stationary on an inclined plane is that the angle of inclination $	heta$ must be less than or equal to the angle of repose $\alpha$,where $	an \alpha = \mu$.At the maximum height,the block is at the verge of slipping,so the slope of the tangent to the curve at that point is equal to the coefficient of friction.$	an 	heta = \frac{dy}{dx} = \mu$Given $y = \frac{x^2}{4}$,we have $\frac{dy}{dx} = \frac{2x}{4} = \frac{x}{2}$.Setting $\frac{x}{2} = \mu = 0.5$,we get $x = 1 \ m$.Now,find the corresponding height $y$ at $x = 1 \ m$:$y = \frac{x^2}{4} = \frac{(1)^2}{4} = 0.25 \ m$.Since $1 \ m = 100 \ cm$,the height is $0.25 	imes 100 = 25 \ cm$.

Similar Questions

The time taken by an object to slide down a $45^{\circ}$ rough inclined plane is $n$ times the time it takes to slide down a perfectly smooth $45^{\circ}$ inclined plane. The coefficient of kinetic friction between the object and the inclined plane is:

$A$ body is moving up an inclined plane of angle $\theta$ with an initial kinetic energy $E$. The coefficient of friction between the plane and the body is $\mu$. The work done against friction before the body comes to rest is

$A$ block is projected upwards on an inclined plane of inclination $37^{\circ}$ along the line of greatest slope with a coefficient of friction $\mu = 0.5$ and an initial velocity of $5 \ m/s$. The block first stops at a distance of .......... $m$ from the starting point.

The minimum value of $F$ so that the block is in equilibrium is

$A$ board is balanced on a rough horizontal semicircular log. Equilibrium is obtained with the help of the addition of a weight to one of the ends of the board when the board makes an angle $\theta$ with the horizontal. The coefficient of friction between the log and the board is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module