A mechanical engineering student has been practicing his yoyo tricks because he has too much free time. For one trick, he spins the yoyo such that it contacts the ground and rolls forward, emulating someone walking their dog. If the yoyo has a radius of gyration 0.01 m and a mass of m = 0.2 kg, determine the acceleration and angular acceleration of the yoyo when the tension in the string is found to be T = 0.3 N. Assume the string is at its full extent and does not roll up as the yoyo rolls. Assume there is also no friction where the string slips around the yoyo's inner axle. The coefficients of static and kinetic friction are found to be 0.25 and 0.1 respectively. The angle = 40 degrees and the radius of the yoyo is r = 0.04 m. Take the initial angular velocity of the yoyo to be w = 6 rad CW 8 Does the yoyo slip? What is the acceleration of the yoyo's center of gravity (G) and angular acceleration (a)? Round all answers to three significant figures. aG₂ 18 Slips Does not Slip - k m rad

please provide answer as symbolically as possible

Problem #4) The extremities of a 4-ft rod weighing 50lb (1.5528slugs) can move freely and with no friction along two straight tracks. The rod is released with no velocity from the position shown, resulting in the rod to slide down the incline. The angular acceleration of the rod is a = +2.30k rad/s² and the linear acceleration at point A is 12.5674ft/s² to the right. Determine (a) ao, the linear acceleration at point G, and (b) RA and RB, the normal reaction forces at point A and B. Include and present the Free Body Diagram and Inertial Response Diagram as part of the solving process. B B=45° 4 ft G O D 30°1 A

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 theta = 58, determine the spring constant k. (b) for the value k = 65 N/m, find the magnitude of the angular velocity of th ebar when theta = 38 degrees.

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 = 3.6 m/s² up the incline 0 = 31°, 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: 3 = i

Subject: physics

The 2.28-kg uniform slender bar rotates freely about a horizontal axis through O. The system is released from rest when it is in the horizontal position 0 = 0 where the spring is unstretched. If the bar is observed to momentarily stop in the position 0 = 66°, determine the spring constant k. For your computed value of k, what is magnitude of the angular velocity of the bar when 0 = 48°. B 0.85 m 0.85 m 2.28 kg 0.29 my Answers: k = i N/m ω- rad/s 1

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 = 3.7 m/s2 up the incline θ = 34°, find the steady angle β assumed by the pendulum after all initial start-up oscillations have ceased. Neglect the mass of the slender supporting rod.

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

Hi, how do you solve this question?