Question

16. Find tension T in the solved problem 10.6 (chapter-10) of book if, mass of wheel (assume its cylindrical disk , and axel has zero mass ) is M= 10 Kg , radius of the wheel = 0.1 meter, mass attached to the end of the string m = 20 Kg . (a) 196 N (b) 39.2 N (c) 14.4 N (d) none of them

Answer 1

T = tension force in the string

for the hanging block. force equation is given as

mg - T = ma

a = (mg - T)/m eq-1

Torque equation for the wheel is given as

T r = I a/r

T = (0.5)Ma

using eq-1

T = (0.5) M (mg - T/m)

T = (0.5) (10) (((20) (9.8) - T)/20)

T = 39.2 N