Using strings and pulleys, three weights of mass 8kg, 9kg and 10kg are suspended in equilibrium as shown. Calculate the magnitude of \(\angle ACB\)

A mass of 10kg is suspended from two strings of length 8cm and 6cm. The ends of the strings being attached to two points in a horizontal line 12cm apart. Find the tension in each string. 

A boat is being pulled by a force of 50kg wt towards the east and by a force 40kg wt towards a bearing of \(S30^{\circ}W\). What third force must be acting on the boat so that it remains stationary? Give a magnitude and direction. 

A body of mass 85kg is placed on a smooth inclined plane which rises 8cm vertically for every 15cm horizontally. A string is attached to a point further up the plane which prevents the body from moving. Find the tension in the string and the magnitude of the force extended on the body by the plane.