At the instant t = 0,a force F = kt (k is a c | vedclass

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

Question

(D) The body rests on a smooth horizontal surface. The forces acting on the body are the gravitational force $mg$ acting downwards,the normal reaction

Vedclass · Accepted Answer

$\frac{mg}{k\,\sin \alpha}$

Vedclass · Answer

(D) The body rests on a smooth horizontal surface. The forces acting on the body are the gravitational force $mg$ acting downwards,the normal reaction $N$ acting upwards,and the applied force $F = kt$ acting at an angle $\alpha$ with the horizontal.Resolving the force $F$ into components,we have the vertical component $F_y = F \sin \alpha = kt \sin \alpha$ acting upwards.The equation of motion in the vertical direction is $N + F \sin \alpha = mg$.The body leaves the surface when the normal reaction $N$ becomes zero.Setting $N = 0$,we get $kt \sin \alpha = mg$.Solving for time $t$,we obtain $t = \frac{mg}{k \sin \alpha}$.

At the instant $t = 0$,a force $F = kt$ ($k$ is a constant) acts on a small body of mass $m$ resting on a smooth horizontal surface. The force is applied at an angle $\alpha$ with the horizontal. The time at which the body leaves the surface is:

Similar Questions

$A$ block is being pulled by a force $F$ on a long frictionless level floor. The magnitude of the force is gradually increased from zero until the block lifts off the floor. Immediately after the block leaves the floor,its acceleration is

If more than one force acts on a particle,state the condition for the equilibrium of the particle.

$A$ $1 \text{ N}$ pendulum bob is held at an angle $\theta$ from the vertical by a $2 \text{ N}$ horizontal force $F$ as shown in the figure. The tension in the string supporting the pendulum bob (in newton) is

$A$ weight $Mg$ is suspended from the middle of a rope whose ends are at the same level. The rope is no longer horizontal. The minimum tension required to completely straighten the rope is ......

$A$ body of mass $1 \ kg$ is suspended with the help of two strings making angles as shown in the figure. The magnitudes of tensions $T_1$ and $T_2$,respectively,are (in $N$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module