An object of mass M sits on a frictionless table; it is connected by a light string to a hanging mass m. (See figure.)(a) Find both the tension in the string and the acceleration of the masses in terms of M, m, and g.(b) What is the tension in the limit where M ? m (that is, the mass on the table is very heavy)? Is this what you expect it to be?(c) What is the acceleration in the limit where m ? M (that is, the hanging mass is very heavy)? Is this what you expect it to be? Think about two cases: (i) M is a bowling ball and m is a feather, and (ii) M is a feather and m is a bowling ball.

1. An object of mass M sits on a frictionless table; it is connected by a light string to a hanging mass m. (See figure.) (a) Find both the tension in the string and the acceleration of the masses in terms of M, m, and g. Massless string M (b) What is the tension in the limit where M > m (that is, the mass on the table is very heavy)? Is this what you expect it to be? Massless, fric- tionless pulley m (c) What is the acceleration in the limit where m > M (that is, the hanging mass is very heavy)? Is this what you expect it to be? Think about two cases: (i) M is a bowling ball and m is a feather, and (ii) M is a feather and m is a bowling ball