Question

Problem #4 A 10 kg box resting on a horizontal, frictionless surface is attached to a 4 kg block by a thin light rope that passes over a frictionless pulley. The pulley has a shape of a uniform solid disk of mass 4.5 kg and a radius of 0.55 m. After the system is released 10 kg box moves to the right, 4 kg block moves down and the pulley rotates clockwise. Find: (a) the magnitude of the tension (in N) of the rope on the end attached to 10 kg box; (b) the magnitude of the tension (in N) of the rope on the end attached to 4 kg block; (c) the magnitude of the acceleration (in m/s2) of the 10 kg box;

Answer 1

st ya 2=9% M UTZ T2 ta m₂ g Tism, a m, block, block, Pulley 2 m2 g -T2= mza T = Id » (T2-71) +E Ixmlxa = T2-T, = ma (27 + 3 gives m2 g -T,= a( m₂ + M) 4 =) 4x908-T,=a (4+4.5) 8.5 a=3902-Ti -( giees TT-gosa= m,a-3902+Y - gosa= 10a-39.2 a = 2012 m/2 frow Tiam, a= 10x2012 2102 N AL = b T2= m2lg-a) - 4 (9.8-2.121 = 30072 N AL as one a=2012 m/s2 AM calculated