Question

Q1: A body of mass 10kg is attached to one end of a cord, the other end of which is fixed to a peg in a wall.  The body is pulled aside by a horizontal force so that the cord is inclined at an angle of 30° to the vertical. Find the horizontal force and tension in the string.

Q2: A body of mass 4 kg is attached to one end of a string, the other end of which is fixed to a peg in the wall. The body is held in equilibrium, with the string making an angle of 30° to the vertical, by a force of P newtons which acts on the body in a direction perpendicular to the string. Find the value of P and the tension in the string.

Q3: A smooth ring of mass 2 kg is free to slide on a ring passing through it and tied to two points on the same horizontal level. In the equilibrium position, the angle between the directions of the string is 56°. Find the tension in the string.

Q4: A body of mass 800 grams is attached to one end A of a string AB, the other end being fixed to a wall; the length of AB is 780 mm. The body is pulled aside by a horizontal force and held in equilibrium at a distance AC=300 mm from the wall. Show that the angle q between the direction of the horizontal force and the direction AB is given by cos(angle) =-5/13 and that sin（angle） =12/13 . Hence find the horizontal force and the tension in the string.

Answer 1