Problem 1 Two blocks, one of mass m₁ = 3.0 kg.and the other of mass m₂ = 9.0 kg, are slung over a pulley by a massless rope, as depicted in the figure. Initially, the masses are at the same height. The pulley is a uniform solid disk with a mass of M 36.0 kg and a radius R = 10.0 cm. The total length of the rope, including the part slung over the pulley, is L= 4.0 m. The masses are released from rest at time t = 0 sec. - A. How much time does it take for the pulley to complete one revolution? B. At what time will the smaller mass crash into the pulley? (Assume the mass is much smaller than the pulley for simplicity.)

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.