Question

Question No.2 A cage of mass 2500 kg is raised and lowered by a winding drum of 1.5 m diameter. A brake drum is attached to the winding drum and the combined mass of the drums is 1000 kg and their radius of gyration is 1.2 m. The maximum speed of descent is 6 m/s and when descending at this speed, the brake must be capable of stopping the load in 6 m. Find 1. the tension of the rope during stopping at the above rate, 2. the friction torque necessary at the brake, neglecting the inertia of the rope, and 3. In a descent of 30 m, the load starts from rest and falls freely until its speed is 6 m/s. The brake is then applied and the speed is kept constant at 6 m/s until the load is 10 m from the bottom. The brake is then tightened so as to give uniform retardation, and the load is brought to rest at the bottom. Find the total time of descent.

Answer 1

Suigatotpage 622dx6Xa is Tensien in 2500 8) 32025N uigakigTaru radfe 3 a atabien k radius 2500 x1.22 2500A 22 X 3 5 7300 Am

(Taitiatly_uao) 3% 2. 62-ax9.&X S. V=utat 6 .Ixt 61LS J4.83 30-834 18.166 m 991.81 Sa Va TO M Hiaat lag vuras Fo the V=d, S=l0 0- 36 aKIOxa V=ut atta tae 3.33 5 , Net time = .611030 26 +3.33= 69 S