A force of 100 N need to be applied parallel to a smooth inclined plane just to hold a body on it. The angle of inclination of the inclined plane is 30° How much horizontal force need to be applied to do the same?

Question

A force of 100 N need to be applied parallel to a smooth inclined plane just to hold a body on it. The angle of inclination of the inclined plane is 30° How much horizontal force need to be applied to do the same? (A) 50 N (B) 87 N (C) 100 N (D) 115 N

Tardigrade Admin · Accepted Answer

Given that mg sin θ=100 N If horizontal force required be F, then component of F will balance the weight i.e., F cos θ=100 or F=(100/cos θ) =(100/cos 30°) =115 N

Q. A force of 100 N need to be applied parallel to a smooth inclined plane just to hold a body on it. The angle of inclination of the inclined plane is $3 0^{\circ}$ How much horizontal force need to be applied to do the same?

$50 N$

$87 N$

$100 N$

$115 N$

Given that $m g s in θ = 100 N$
If horizontal force required be $F$ , then component of $F$ will balance the weight
i.e., $F cos θ = 100$

or $F = \frac{100}{cos θ}$

$= \frac{100}{cos 3 0 ^{\circ}}$

$= 115 N$

Q. A force of 100 N need to be applied parallel to a smooth inclined plane just to hold a body on it. The angle of inclination of the inclined plane is 30∘ How much horizontal force need to be applied to do the same?

50N

87N

100N

115N