Two objects, of masses m1 = 475.0 g and m2 = 545.7 g, are connected by a string of negligible mass that passes over a pulley with frictionless bearings. The pulley is a uniform 52.5-g disk with a radius of 4.20 cm. The string does not slip on the pulley.
(a) Find the accelerations of the objects.
____ m/s2
(b) What is the tension in the string between the 475.0-g block and the pulley? (Round your answer to four decimal places.)
_____ N
What is the tension in the string between the 545.7-g block and the pulley? (Round your answer to four decimal places.)
______ N
By how much do these tensions differ? (Round your answer to four decimal places.)
_____ N
(c) What would your answers be if you neglected the mass of the pulley?
acceleration ___ m/s2
tension ___ N
MORE INFO:
Draw an extended free-body diagram of each object showing the forces acting on both objects and the pulley. Set up a separate coordinate system for each object such that they all accelerate in the .positive. direction. By applying Newton’s second law of motion and relating the linear and angular accelerations, you can obtain a system of three equations for the unknowns that you can solve simultaneously.
I don’t think I’m getting this chapter very well, so anything would be appreciated, whether it’s an explanation or answers. Thanks in advance.
Thanks. The last part is definitely correct, but I’m thinking that the value of 1/2 for r must be incorrect, as I can’t get (a) or (b)
