Question

An effort of 200N is required just to move a certain body up an inclined plane of angle 15, the force acting parallel to the plane. If the angle of inclination of the plane is made 20, the effort required again applied parallel to the plane is found to be 230N. Find the weight and coefficient of friction?

Answer 1

To find the weight and coefficient of friction, we use the equation: Weight = Effort + Friction. By applying this equation to the given information, we can solve for the weight of the body for each inclined plane and then find the coefficient of friction by dividing the friction force by the weight of the body.

Step-by-step explanation:

Given that an effort of 200N is required to move a certain body up an inclined plane of angle 15° with the force acting parallel to the plane, and then the effort required, when the angle of inclination is changed to 20°, is found to be 230N, we can find the weight and coefficient of friction.

To find the weight, we need to consider the component of weight that is parallel to the inclined plane. We can use the equation:

Weight = Effort + Friction

Where Effort is the force acting parallel to the plane, and Friction is the force of friction opposing the motion of the body. In this case, the Effort is given as 200N for the 15° inclined plane and 230N for the 20° inclined plane.

Using the equation for weight, we can solve for the weight of the body for each inclined plane and then find the coefficient of friction by dividing the friction force by the weight of the body.

Let's calculate:

For the 15° inclined plane:

Weight = 200N - Friction

Weight = 200N - Friction

For the 20° inclined plane:

Weight = 230N - Friction

1. Weight = 230N - Friction