A body of mass 1, kg lies on a smooth incline | vedclass

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

Question

(A) To find the normal reaction $N$,we resolve the forces perpendicular to the inclined plane.The forces acting on the body are:$1$. The weight of the

Vedclass · Accepted Answer

$10 \sqrt{2}\, N$

Vedclass · Answer

(A) To find the normal reaction $N$,we resolve the forces perpendicular to the inclined plane.The forces acting on the body are:$1$. The weight of the body $mg$ acting vertically downwards. Its component perpendicular to the inclined plane is $mg \cos 45^{\circ}$.$2$. The horizontal force $F = 10\, N$. Its component perpendicular to the inclined plane is $F \sin 45^{\circ}$.Since the body is in equilibrium in the direction perpendicular to the plane,the normal reaction $N$ must balance these components:$N = mg \cos 45^{\circ} + F \sin 45^{\circ}$Given $m = 1\, kg$,$g = 10\, m/s^2$,$F = 10\, N$,and $	heta = 45^{\circ}$:$N = (1)(10) \cos 45^{\circ} + 10 \sin 45^{\circ}$$N = 10 \left( \frac{1}{\sqrt{2}} ight) + 10 \left( \frac{1}{\sqrt{2}} ight)$$N = \frac{10}{\sqrt{2}} + \frac{10}{\sqrt{2}} = \frac{20}{\sqrt{2}} = 10 \sqrt{2}\, N$.

$A$ body of mass $1\, kg$ lies on a smooth inclined plane. The body is subjected to a horizontal force $F = 10\, N$ as shown in the figure. The magnitude of the net normal reaction on the body is:

Similar Questions

An object requires $500 \,N$ force to be pulled up on a $30^{\circ}$ frictionless smooth inclined plane at a constant speed. The weight of the object is

Three blocks of masses $2m$,$4m$,and $6m$ are placed as shown in the figure. If $\sin 37^{\circ}=\frac{3}{5}$ and $\sin 53^{\circ}=\frac{4}{5}$,the acceleration of the system is:

$A$ block '$A$' takes $2\,s$ to slide down a frictionless incline of $30^{\circ}$ and length '$l$',kept inside a lift going up with uniform velocity '$v$'. If the incline is changed to $45^{\circ}$,the time taken by the block to slide down the incline will be approximately $........\,s$.

What is the normal force on a body of mass $m$ placed on an inclined plane of angle $\theta$?

In the figure shown,$A$ and $B$ are free to move. All the surfaces are smooth. Then for $(0 < \theta < 90^o)$:

Vedclass Test Series

Exam Paper Generator

Online Exam Module