A body of mass 16 kg was placed on a smooth plane that was inclined at to the horizontal. A horizontal force of 48 kg-wt was acting on the body towards the plane. Given that line of action of the force, the body, and the line of greatest slope all lie in the same vertical plane, determine the acceleration of the body. Consider the acceleration due to gravity to be .
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 upwards 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 weighing 14 N was placed on a smooth plane inclined to the horizontal at an angle , where . Let be the unit vector in the direction of the line of greatest slope up the plane, and be the unit vector upward and perpendicular to the plane. There are three forces acting on the body in the - plane: , , and . Given that the acceleration due to gravity is 9.8 m/s2, find the magnitude and direction of the body’s acceleration.