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A body is thrown with the velocity v0 at an angle of theta to the horizon. Determine v0 in m/s if the maximum height attained by the body is 5 m and at the highest point of its trajectory the radius of curvature is r = 3m
24
Sep
A body is thrown with the velocity v0 at an angle of theta to the horizon. Determine v0 in m/s if the maximum height attained by the body is 5 m and at the highest point of its trajectory the radius of curvature is r = 3m All the particles thrown with same initial velocity [...]
A golfer standing on level ground hits a ball with a velocity of 52 m/s at an angle theta above the horizontal. If tan theta = 5/12, then find the time for which the ball is at least 15 m above the ground.
24
Sep
A golfer standing on level ground hits a ball with a velocity of 52 m/s at an angle theta above the horizontal. If tan theta = 5/12, then find the time for which the ball is at least 15 m above the ground. A golfer standing on level ground hits a ball with a velocity [...]
A bead is free to slide down on a smooth wire rightly stretched between points A and B on a vertical circle of radius 10 m. Find the time taken by the bead to reach point B, if the bead slides from rest
24
Sep
A bead is free to slide down on a smooth wire rightly stretched between points A and B on a vertical circle of radius 10 m. Find the time taken by the bead to reach point B, if the bead slides from rest A bead is free to slide down on a smooth wire rightly [...]
A smooth ball of mass 1 kg is projected with velocity 7 m/s horizontal from a tower of height 3.5m. It collides elastically with a wedge of mass 3 kg and inclination of 45∘ kept on ground. The ball collides with the wedge at a height of 1m above the ground. Find the velocity of the wedge and the ball after collision. (Neglect friction at any contact.)
24
Sep
A smooth ball of mass 1 kg is projected with velocity 7 m/s horizontal from a tower of height 3.5m. It collides elastically with a wedge of mass 3 kg and inclination of 45∘ kept on ground. The ball collides with the wedge at a height of 1m above the ground. Find the velocity of [...]
A small steel ball A is suspended by an inextensible thread of length l = 1.5 m from O. Another identical ball is thrown vertically downwards such that its surface remains just in contact with thread during downward motion and collides elastically with the suspended ball. If the suspended ball just completes vertical circle after collision, calculate the velocity (in cm/s) of the falling ball just before collision (g = 10 ms^−2).
24
Sep
A small steel ball A is suspended by an inextensible thread of length l = 1.5 m from O. Another identical ball is thrown vertically downwards such that its surface remains just in contact with thread during downward motion and collides elastically with the suspended ball. If the suspended ball just completes vertical circle after [...]
A small ball is projected from point P towards a vertical wall as shown in Fig. It hits the wall when its velocity is horizontal. Ball reaches point P after one bounce on the floor. The coefficient of restitution assuming it to be same for two collisions is n/2. All surfaces are smooth. Find the value of n.
24
Sep
A small ball is projected from point P towards a vertical wall as shown in Fig. It hits the wall when its velocity is horizontal. Ball reaches point P after one bounce on the floor. The coefficient of restitution assuming it to be same for two collisions is n/2. All surfaces are smooth. Find the [...]
Two identical smooth balls are projected from points O and A on the horizontal ground with same speed of projection. The angle of projection in each case is 30∘.The distance between O and A is 100m. The balls collide in mid-air and return to their respective points of projection. If the coefficient of restitution is 0.7, find the speed of projection of either ball (in m/s) correct to nearest integer. (Take g = 10 ms^−2 and root 3 =1.7)
24
Sep
Two identical smooth balls are projected from points O and A on the horizontal ground with same speed of projection. The angle of projection in each case is 30∘.The distance between O and A is 100m. The balls collide in mid-air and return to their respective points of projection. If the coefficient of restitution is [...]
From the top of tower of height 80 m, two stones are projected horizontally with velocities 20 m/s and 30 m/s in opposite directions. Find the distance between both stones on reaching the ground.
24
Sep
From the top of tower of height 80 m, two stones are projected horizontally with velocities 20 m/s and 30 m/s in opposite directions. Find the distance between both stones on reaching the ground. From the top of tower of height 80 m two stones are projected horizontally with velocities 20 m/s and 30 m/s [...]
A particle with a mass of 1 kg a velocity of is having 10 m/s in +ve x-direction at t = 0. Forces F→1 and F→2, act on the particle whose magnitudes are changing with time according to the variation shown in Fig. The magnitude of the velocity of the particle at t = 3 s (neglect gravity effect) is found to be root 5 n . Find the value of
24
Sep
A particle with a mass of 1 kg a velocity of is having 10 m/s in +ve x-direction at t = 0. Forces F→1 and F→2, act on the particle whose magnitudes are changing with time according to the variation shown in Fig. The magnitude of the velocity of the particle at t = 3 [...]
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A particle of mass m makes an elastic head on collision with a stationery particle of mass 2m. If initial kinetic energy is moving particle is 6 j ,
A particle with a mass of 1 kg a velocity of is having 10 m/s in +ve x-direction at t = 0. Forces F→1 and F→2 ,
then during the impact ,
Three balls A ,
A particle is projected from the ground at an angle 30 with the horizontal with an initial speed 20 m/s. After how much time will the velocity vector of projectile be perpendicular to the intial velocity?
24
Sep
A particle is projected from the ground at an angle 30 with the horizontal with an initial speed 20 m/s. After how much time will the velocity vector of projectile be perpendicular to the intial velocity? All the particles thrown with same initial velocity would strike the ground. a. with same speed b. simultaneously c. [...]