Grade 11Mechanics
A beetle carrying a food-grain rests on a small platform, which is moving with uniform velocity u parallel to a uniform frictionless slope as shown in the figure. At some point of time, the food-grain fell out of the grip of the beetle. After a collision with the slope, the food-grain stops for a moment and then starts sliding down the slope. The moment when the food-grain collides with the slope, the beetle jumps off horizontally backwards with a velocity 3u relative to the platform for the food-grain. If the beetle grabs the food-grain exactly when it lands on the slope, find suitable expression for the height h of the platform above the slope.
A beetle carrying a food-grain rests on a small platform, which is moving with uniform velocity u parallel to a uniform frictionless slope as shown in the figure. At some point of time, the food-grain fell out of the grip of the beetle. After a collision with the slope, the food-grain stops for a moment and then starts sliding down the slope. The moment when the food-grain collides with the slope, the beetle jumps off horizontally backwards with a velocity 3u relative to the platform for the food-grain. If the beetle grabs the food-grain exactly when it lands on the slope, find suitable expression for the height h of the platform above the slope.
