A bar of 30 kg mass is in the rest position for the position θ = 0 °, for which the spring is in its unstretched (relaxed) state. Find the angular velocity of the bar when it is at the position θ = 90 °. Take the acceleration due to gravity as 9.81 m / s ^ 2

The 30-kg wheel is rolling under the constant moment of M = 84 N.m. The wheel has radius r = 0.48 m, has mass center at point G, and the radius of gyration is kg = 0.24 m. The coefficients of friction between the wheel and the ground is μ = 0.39 and k=0.10. If the wheel rolls without slipping, determine the angular acceleration of the wheel (in rad/s²). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: Answer G 1

The system is at rest with the spring unstretched when theta = 0. the 5.3 kg uniform slender bar is then given a slight clockwise nudge. The value of b is 0.45 m. (a) if the bar comes to momentary rest when the angle = 58, determine the spring constant k. (b) for the value k = 65 N/m, find the magnitude of the angular velocity of the bar when the angle = 38 degrees. a) k = 70.634 N/m

A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2.   (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)

A simple pendulum is pivoted at O and is free to swing in the vertical plane of the plate. If the plate is given a constant acceleration a = 2.7 m/s? up the incline e = 26°, find the steady angle ß assumed by the pendulum after all initial start-up oscillations have ceased. Neglect the mass of the slender supporting rod. Answer: B = i