A block of mass M slides on a thin film of oil. The film thickness is h and the area of the block is A. When released, the mass m exerts tension on the chord, causing the block to accelerate. Neglect friction in the pulley and air resistance. Develop an algebraic expression for the viscous force that acts on the block when it moves at speed V. Derive a differential equation for the block speed as a function of time. Obtain an expression for the block speed as a fucntion of time. The mass M = 5 kg, m = 1 kg, A = 25 cm², and h = 0.5 mm. If it takes 1 s for the speed to reach 1 m/s, find the oil viscocity μ. Plot the curve for V(t).

ps. there is a picture associated with this problem, the only important part of it is that the block of mass M is attached from the side to a pulley where the block of mass m hangs. This is enough info to solve the problem.

Answer rating: 100% (QA)

Given Block of mass Thickness of oil film Contact area of block At time ... View the full answer