The 14-kg bar AB is pivoted at A and is subjected to a moment M = 18 N.m. If the bar is released from rest when the spring is at its natural length at an angle 0 = 30°, determine the angular velocity of the bar at the instant 0 = 60°. Assume that the spring, thanks to the presence of the roller at C, always remains horizontal.

18-6. A force of P=20 N is applied to the cable, which causes the 175-kg reel to turn without slipping on the two rollers A and B of the dispenser. Determine the angular velocity of the reel after it has made two revolutions starting from rest. Neglect the mass of the cable. Each roller can be considered as an 18-kg cylinder, having a radius of 0.1 m. The radius of gyration of the reel about its center axis is kg=0.42 m. 307 250 mm OG 500 mm 400 mm-

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

SOLVE USING PRINCIPLE OF WORK AND ENERGY

At the instant shown, link CD rotates with an angular velocity of W = 9.0 rad/s. If it is subjected to a couple moment M= 320 N-m, determine the magnitude of the vertical reaction force developed on pin D. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to 0.) Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper unit. Take g = 9.81 m/s². 0.1 m 0.6 m В А 0.4 m' G 0.4 m D C M Your Answer: Answer units

The uniform 80 kg slender rod is at rest in the position shown when P = 450 N is applied. Determine the value of angular velocity, w2 the rod if L1 = 5.5 m and L2 = 6.5 m. A L L2 L1 B

0₁ Oy || 5 Kronk is asked to pull the lever. He applies a force of 20 N, causing the 8 kg lever to have an angular rad velocity of 3 || 6 8 . Determine the angular acceleration of the lever and the reaction forces at O. Assume the lever is a slender rod and that the lever was originally propped up to be level horizontally. The prop was removed at the instant Kronk applied the force. α = 5 Kronk applies the force at a length 7 and the lever has length 1 = 0.2 m. Use negative if CW 1 N N 1 rad 8² F (0) -CCW