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Problem 1 (50 points): Problem 2 (45 points): The disc below is pinned at 0 (corresponding...
The tangential force F shown in figure below is applied to a disc is allowed to rotate about an axis through its center. The diameter of the disc is 24.0 cm. The magnitude of this tangential force is given in the graph of F vs. Angular Position. With the disc at rest initially and ignoring frictional torque, the disc's angular velocity after one full rotation is -31.4 rad/sec. What is the moment of inertia of the disk? 2.40 × 10-1...
A 60 kg gymnast leaves the floor to perform a somersault, with a reactive force of 2760 N. The center of gravity is 22 cm perpendicular from the line of action of the force. As she first leaves the floor, she can be modelled as a long cylinder with moment of inertia md^2/12 (where d is her length, 1.60 m). The time it takes her to leave the floor is 55 ms. As she leaves the floor calculate: 1. Torque...
Problem#3 (10 points): A flywheel with a mass moment of inertia is 0.72 Kg m2 starts from rest and accelerated at the rate of 3.4 rad/s2 for 40 s. a) Determine the net torque used for the acceleration of the flywheel. b) Determine the angular velocity reached after 15 s and 35 s. c) Determine the acceleration and compare with given acceleration. Then retardation was applied to this flywheel with a rate of 3.8 rad/s2 to decrease the angular velocity...
Problem 6: Impulse/Momentum cousk has from rest. Neglect the mass of the cord. the cord, determine the velocity at nservation of Momentum pinned at its center O. If a vertical force P- 2 Ib is appliod to the cord is pulled down by the force in 4 seconds starting 0.5 ft . Problem 6: Impulse/Momentum cousk has from rest. Neglect the mass of the cord. the cord, determine the velocity at nservation of Momentum pinned at its center O. If...
037 CH 19.2 1 of 4> Principle of Impulse and Momentum Constants Part A - Angular velocity of the pulley Learning Goal The pulley shown (Figure 1) has a moment of inertia IA 0.900 kg m2, a radius r 0.300 m, and a mass of 20.0 kg A cylinder is attached to a cord that is wrapped around the pulley. Neglecting bearing friction and the cord's mass express the pulley's final angular velocity in terms of the magnitude of the...
Question 1 3 points Sav The 50 kg wheel has a radius of gyration kA determine 200 mm. If the wheel is subjected to a moment M (80 N.m, where t is in seconds. If the disC starting from rest, at t 2 s its angular velocity, c rad/s (A 4 B 16 C. 2 D. 8) the horizontal reaction at the fixed pin, Ay N (A 50 B. 0 C. 490.5 D. 245.3) the vertical reaction at the foxed...
The triangular plate is pinned to the 11 lb smooth collar. Determine the initial angular acceleration of the plate when P = 50 lb is applied to the collar. The plate is originally at rest. Note that the mass moment of inertia is proportional to the Area moment of inertia by: Imass = lareapt, where the density p = 490 lb/ft and the thickness of the plate t = 12 inch. ор 1.5 ft 1.5 ft
A disk with moment of inertia 9.15 × 10−3 kg∙m^2 initially rotates about its center at angular velocity 5.32 rad/s. A non-rotating ring with moment of inertia 4.86 × 10−3 kg∙m^2 right above the disk’s center is suddenly dropped onto the disk. Finally, the two objects rotate at the same angular velocity ?? about the same axis. There is no external torque acting on the system during the collision. Please compute the system’s quantities below. 1. Initial angular momentum ??...
Thanks so much for the help! Please show all work. A uniform solid disk with radius 9 cm has mass 0.5 kg (moment of inertia I = ½MR2). A constant force 12 N is applied as shown. At the instant shown, the angular velocity of the disk is 40 radians/s in the −z direction (where +x is to the right, +y is up, and +z is out of the page, toward you). The length of the string d is 13...
Problem 2: Two friction disks A and B are pinned at their centers to arm ACB as shown. The disks roll without slipping at surfaces of contact. Knowing the angular speed of disk A is 150 rad/s clockwise, determine the angular velocity of disk B and arm АСВ. ACB 24 in 1.2 in09 in 1.5 in 0.6 in. Problem 2: Two friction disks A and B are pinned at their centers to arm ACB as shown. The disks roll without...