A 5-kg small ball is doing circular motion in horizontal plane connected by two strings A and B to the vertical wall, as shown in Figure 4. Given the speed of the ball 3.5 m/s at the location shown, determine the tensions, TA and TB, in the two strings.

A vertical spring with a mass attached at its end stretches by an amount 20 cm before coming to rest. The same spring and mass is now placed on a smooth inclined plane with one end fixed to the top of the plane. The plane makes an angle of 30° with the horizontal. By how much will the spring stretch before coming to rest? |The spring on the inclined plane is stretched further by 15 cm and released from rest. What is its speed when it passes through the new equilibrium position?

A mass of 10.4 tonnes is being hauled up an incline of 1 in 93 (rise in run). The frictional resistance is constant at 56 kg/tonne. At the instant the velocity of the mass is 15 km/hr, and its acceleration is 0.67 m/s2 :  Calculate the tension in the rope and calculate the power exerted.