Question Answers

A body is projected up with a speed v 0 , along the line of greatest slope of an inclined plane of angle of inclination β. If the body collides elastically perpendicular to the inclined plane, find the time after which the body passes through its point of projection. A body is projected up with [...]

‘A’ block ‘B’ is pushed momentarily along a horizontal surface with an initial velocity ‘υ’. If ‘μ’ is the coefficient of friction between ‘B’ and the surface, block ‘B’ will come to rest after a time 'A' block 'B' is pushed momentarily along a horizontal surface with an initial velocity 'υ'. If 'μ' is the [...]

A block of mass m is in contact with the cart as shown in figure. The coefficient of static friction between the block and the cart is . The acceleration of the cart that will prevent the block from falling satisfies A plank with a box on it at one end is gradually raised about [...]

The upper half of an inclined plane of inclination θ is perfectly smooth while the lower half rough. A block starting from rest at the top of the plane will again come to rest at the bottom if the coefficient of friction between the block and the lower half of the plane is given by. [...]

At what angle should a ball be projected up an inclined plane with a velocity v 0 ​ , so that it may hit the incline normally. The angle of the inclined plane with the horizontal is α. At what angle should a ball be projected up an inclined plane with a velocity v 0 [...]

A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches 30, the box starts to slip and slides 4.0 m down the plank in 4.0 s. The coefficients of static and kinetic friction between the box and the plank [...]

A mango in a tree is located at a horizontal and vertical distnace of 30 m and 40 m, respectively, from the point of projection of a stone. Find the minimum speed and the critical angle of projection of the stone so as to hit the mango. A mango in a tree is located at [...]

A body is thrown at an angle theta 0 with the horizontal such that it attains a speed equal to sqrt 2/3 times the speed of projection when the body is at half of its maximum height. Find the angle theta 0. A truck starts from origin accelerating with a m s^-2 in positive x [...]

A 0.5kg ball moving with a speed of 12m/s strikes a hard wall at an angle of 30 with the wall. It is reflected with the same speed and at the same angle, as shown in figure. If the ball is in contact with the wall for 0.25s the average force acting on the wall [...]

A truck starts from origin, accelerating with a m/s^2 in positive x – axis direction. After 2 s, a man standing at the starting point of the truck projected a ball at an angle 30 with velocity v m/s. Find the relation between a and v such that the ball hits the truck. (Assume that [...]