In order to determine the mass moment of inertia of a flywheel of radius 600 mm, a 12-kg block is attached to a wire that is wrapped around the flywheel. The block is released and is observed to fall 3 m in 4.6 s. To eliminate bearing friction from the computation, a second block of mass 24 kg is used and is observed to fall 3 m in 3.1 s. Assuming that the moment of the couple due to friction remains constant, determine the mass moment of inertia of the flywheel.

A disk with radius R and mass m begins from rest and then moves without slipping while being pulled horizontall by a force P acting at its center axle. Show that the velocity of the wheel after T seconds is v= 2PT/3m. (Hint: use both linear and angular-impulse principles.) m REG P ¹The radius of gyration has units of length and is related to the inertia by k = IG/m. It corresponds to the distance at which a mass equivalent to the mass of the rigid body would produce the same inertia as the actual rigid body. Recall that the inertia of a particle of mass m at a distance r from an axis of ortation is mr². Rather that using r the convention is to define the radus of gyration with the symbol k.

A string is wrapped around a uniform disk of mass M = 2.1 kg and radius R = 0.12 m. (Recall that the moment of inertia of a uniform disk is (1/2) MR².) Attached to the disk are four low-mass rods of radius b = 0.16 m, each with a small mass m = 0.7 kg at the end. The device is initially at rest on a nearly frictionless surface. Then you pull the string with a constant force F = 30 N. At the instant when the center of the disk has moved a distance d = 0.041 m, a length w = 0.033 m of string has unwound off the disk. •m bi m m Part 1 M, R Part 2 d V= 0.708548386 Your answer is correct. Part 3 m (a) At this instant, what is the speed of the center of the apparatus? @01 = i 5.08017 Save for Later F Your answer is incorrect. (b) At this instant, what is the angular speed of the apparatus? 002 = i w+d Save for Later m/s eTextbook and Media F radians/s (c) You keep pulling with constant force 30 N for an additional 0.042 s. Now what is the angular speed of the apparatus? radians/s Attempts: 1…

Disk A has a mass mA = 3.5 kg, a radius rA = 255 mm, and an initial angular velocity wOA = 300 rpm clockwise. Disk B has a mass mB = 1.8 kg, a radius rB = 150 mm, and is at rest when it comes into contact with disk A. Knowing that µk : 0.33 between the disks and neglecting rolling friction, determine the moment of reaction on the support at C, in N-m. = 00 B A C TA TB

Part A The 21-kg roll of paper has a radius of gyration kA = 90 mm about an axis passing through point A. It is pin supported at both ends by two brackets AB. The roll rests against a wall for which the coefficient of kinetic friction is u = 0.2. Neglect the mass of paper that is removed. (Figure 1) Determine the magnitude of the constant vertical force F that must be applied to the roll to pull off 1 m of paper in t = 3 s starting from rest. Express your answer to three significant figures and include the appropriate units. TH HẢ ? F = Value Units Submit Request Answer Provide Feedback Figure < 1 of 1 300 mm 125 mm