# Vectors / Force Diagrams

A ball of mass 2.9kg rests on a ramp that makes an angle of 28 degrees with the horizontal. It is held in place by a rope that makes an angle of 55 degrees with the horizontal. Assume that the only forces acting on the ball are its weight, the tension in the rope and the normal reaction from the ramp. Take the magnitude of the acceleration due to gravity to be g = 10 m s^-2

(i) draw a force diagram for the forces acting on the ball, defining the symbols that you use to denote the forces and indicating the sizes of the angles between the forces.

(ii) Draw a corresponding triangle of forces, indicating the sizes of the angles.

(iii) Use the triangle of forces to find the magnitudes of the tension in the rope and the normal reaction from the ramp, to the nearest newton.

Please show all working for each stage, an image supporting the question can be found as an attachment.

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#### Solution Preview

Hi there,

I've included my answers in the photo.

PS: In my drawing, I put ...

#### Solution Summary

The expert examines vector and force diagrams.