This lesson includes 19 additional questions and 211 additional question variations for subscribers.
Lesson Worksheet: Motion of a Body on a Smooth Inclined Plane Mathematics
In this worksheet, we will practice solving problems involving moving a particle on a smooth inclined plane.
A body of mass 9 kg was moving along the line of greatest slope of a smooth plane inclined at to the horizontal. A force of 3 kg-wt was acting on the body, where the line of action of the force was directed toward the plane at upward of the horizontal. Find the magnitude of the normal reaction of the plane on the body. Take .
- A kg-wt
- B6 kg-wt
- C kg-wt
- D3 kg-wt
A body of mass 205 kg was left to slide down a plane inclined at to the horizontal. A force started acting on the body causing its acceleration to halve. Given that the line of action of the force made an angle of with the line of greatest slope of the plane and that they both lie in the same vertical plane, find the magnitude of this force. Consider the acceleration due to gravity to be 9.8 m/s2.
A body of mass 9 kg is released from rest on a smooth inclined plane. It moves a distance of 25.2 m in the first 4 seconds of its motion. If the body is projected upward along a line of greatest slope on the same plane, with an initial velocity of 12.6 m/s, how far does it travel before coming to instantaneous rest? Take .
A body of mass kg was placed on a smooth plane inclined at to the horizontal. A horizontal force of 126 N directed toward the plane was acting on the body such that the line of action of the force and the line of greatest slope of the plane all lie in the same vertical plane. After moving for 7 seconds, the body reached a speed , at which point the force stopped acting, and the body continued moving until it momentarily came to rest seconds after the force stopped acting. Find and . Take .