P. 3960. A vertical cylinder of radius R is fixed on a horizontal, ideally smooth tabletop. There is a string attached to the bottom of the cylinder, while to the other end of the string a small disc, whose mass is m, is fixed. The small disc is given a velocity v0 which is perpendicular to the tightened string. The disc slides on the tabletop while the string is wound round the cylinder. a) What is the velocity of the small disc when it hits the wall of the cylinder? (Give both the direction and the magnitude.) b) What is the tension at this moment? (Data: R=1 m, l0=2 m, r=2 cm, m=5 g.)
Deadline expired on 12 March 2007.