A physical pendulum consists of a ring of radius 0.5 m and mass 2 kg. The ring is pivoted at a point on its perimeter. The ring is pulled out such that its centre of mass makes a small initial angle 6, the vertical and released from rest. = 0.2 rad from mg (A) Calculate the moment of inertia of the ring about an axis passing through the pivot point O (B) Work out the equation of motion for the vibration of the ring (C) Calculate the angular frequency of the oscillation of the ring (D) Calculate the period of the oscillation of the ring
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- The radius of the pulley shown in the figure is 0.2 m and its moment of inertia is 0.8 kg.m?. Wire is rolling without slipping off the edge of the pulley. (a) After the system is released, find the velocity of 5 kg block just before it hits the ground using energy methods. (b) If there is a constant friction force of 2 N on the axle of pulley, , find the velocity of 5 kg block just before it hits the ground again using energy methods. 5 kg 10 m 2 kgRadius3
- Please answer the following. Thank youNote: Please provide a simple and step-by-step solution.A disk of radius R=27 cm released from rest down a ramp. It rolls without slipping and its center of mass goes down by h=0.99 meters when it reaches the ground level. Find the center-of-mass speed of the disk right after it reaches the ground level. Enter your answer in m/s.
- #2N) Compute the moment of inertia of a solid ball of radius a about an axis if it is made of a material of constant density D (Hint: Set up the integral for I,+I, +I,, convert to spherical coordinates, integrate then divide the result by three.) Would this be much harder if the density depended on radius? How would the calculation change? The following integral is expressed in herical coorainates sp ates.A ball of mass m = 4kg, radius r = 0.5m and moment of inertia I = 2kgm² rolls (with out sliding) down a frictionless ramp of h = 0.4m placed on the top of a table as shown in figure. The ramp makes an angle of 0 = 37° with the projectile Path e = 37 Table Top table. a) Find the linear speed, v, of the ball at A. b) If the ball falls a horizontal distance x= 1.2m away from A, what is the time for the ball to fly from A to B? c) What is the height, H, of the table
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