A thin, light horizontal string is wrapped around the rim of a 4.00-kg solid uniform disk that is 30.0 cm in diameter. A box is connected to the right end of the string and moves to the right along the ground horizontally with no friction. The box is subjected to a horizontal force of magnitude F =100. 0 N parallel to the ground. The box has mass m = 1.00 kg. The disk is rotates clockwise about a fixed axis attached to a steel structure bolted to the ground:

Question

A thin,  light horizontal string is wrapped  around the rim of a 4.00-kg solid uniform disk that is 30.0 cm in diameter.  A box is connected  to the right end of the string and moves to the right along the ground horizontally with no friction. The box is subjected to a horizontal force of magnitude F =100. 0 N parallel to the ground. The box has mass m = 1.00 kg.  The disk is rotates clockwise about a fixed axis attached to a steel structure bolted to the ground:

(a) (20 points) What is a, the linear acceleration magnitude the box?
(b) (15 points) What is the tension T in the string? 
(c) (5 points) If the disk is replaced with a hollow thin walled cylinder of the same mass, and diameter, what will be the acceleration in part (a)?

123123 · Answer

123123