Question

1. An automobile wheel and tire are suspended by a steel rod 0.80 cm in diameter and 2.7 m long as shown in the figure. When the wheel is given an angular displacement and released in 24.7% Given the polar moment of inertia of the wheel and tire, J-0.567 kg.m Determine the natural frequency and the number of cycles of the system for the given time. The torsional stiffness of the rod is given by the equation GI K where 1,- nd (Polar moment of inertia of the circular rod), 1- P32 length, and G-80 x 109 N/m2 (shear modulus of steel)

Answer 1

d=0.8 cm = 8mm J = 0.567 k_m2. -2.7 m to 3 2 = 11.915 2.7 = 111,915 _ 24. ut 584×243 nニ18.02 Cycles