Problem 1
Two masses are connected by a light inextensible string over a frictionless pulley. Find the acceleration and string tension; is gravitational acceleration. The ideal string and pulley constrain the two masses to accelerations of equal magnitude. (a) Write Newton’s equations for both masses. (b) Find their acceleration and the string tension. (c) If the heavier mass descends a distance from rest, find the speed of both masses. Express each answer in terms of the supplied parameters, using SI units for any numerical evaluation. State the assumptions used, check dimensions at each result, and compare with the governing law to catch a sign error or a missing condition.
problems.proof.stepOf
problems.proof.analysis
Use the earlier results in that additional relation to obtain the last requested quantity. Checking its sign distinguishes a mathematical magnitude from a physically admissible state.