Question

Review A disk of mass M and radius R has a hole of radius centered on the axis. Part A Calculate the moment of inertia of the disk. Express your answer in terms of the variables M, R, and T. VALD O2 ? MR2 mR 22 Submit Previous Answers Request Answer Part B A 5.0-cm-diameter disk with a 3.0-cm-diameter hole rolls down a 55-cm-long, 21 ° ramp. What is its speed at the bottom? Express your answer to two significant figures and include the appropriate units. + ? = LHÀ Value + O 2 Units v- Submit Request Answer Part C What percent is this of the speed of a particle sliding down a frictionless ramp? Express your answer to two significant figures and include the appropriate units. ? - THẢ Value * * E Units va/vp = Submit Request Answer

Answer 1

a)The surface density of object is, 6 м. IR?--?) The mass of the hoop is, dm = od = 0(27xdu) The moment of inertia of the hoop is, d = dmx? = 021x dx The moment of inertia of the object is, =f(02.08 Jet * 212 3(2*=>") 210547Rº–r){* ==))

b)The speed of bottom is, Mv2 102 MgL sin = 22 v=j4gz sin 4(9.8)(0.55)(sin 21) =1.516418085 =1.5m/s c)Now V = V2gsin e = 2(9.8)(0.55) (sin 21) =1.965504133 = 1.97m/s The percentage is, x100=1. 1.97 = 76.97553731 = 77% 1.516418085 100