The 5-kg cylinder is initially at rest when it is placed in contact with the wall B and the rotor at A. If the rotor always maintains a constant clockwise angular velocity, determine the initial angular acceleration of the cylinder. The coefficient of kinetic friction at the contacting surfaces B and C is μ = 0.2. B 125 mm 45° @

The system is made up of the 1-m, 6.5-kg uniform rod AB and the two uniform disks (each of 0.19 m radius and 1.5 kg mass). If the system is released from rest when = 80°, when rod AB has just become horizontal, determine the coefficient C in the expression Cw² which is the kinetic energy of rod AB at this instant. Assume the disks roll without slipping. Your answer must include 2 places after the decimal point. Please pay attention: the numbers may change since they are randomized. AB' Take g= 9.81 m/s². A-L B m Your Answer: Answer

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

The 100-kg thin circular disk rolls without slipping on the horizontal plane. Determine a) The angular acceleration of the disk. b) The friction acts on the disk.

The 29-kg spool of outer radius ro​=530 mm has a centroidal radius of gyration k=355 mm and a central shaft of radius ri​=215 mm. The spool is at rest on the incline when a tension T=204 N is applied to the end of a cable which is wrapped securely around the central shaft as shown. Determine the acceleration aaa of the spool center GGG and the friction force FFF acting at the interface of the spool and incline. The friction coefficients there are μs=0.28 and μk​=0.17. The tension T is applied parallel to the incline and the angle θ=16. The acceleration aaa and the force F are both positive if up the incline, negative if down.

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

d I à B 8 rad k Ť You were able to obtain a roll of toilet paper during quarantine and put it to good use. If the roll rests against a wall where its coefficient of friction is -0.22 and you apply a force of 0.7 N at an angle of 40* from the vertical. Force F is also tangent to the roll. Determine the angular acceleration of the precious toilet paper. Mark a counterclockwise acceleration as positive and a clockwise acceleration as negative. Hint: Watch your vector direction for a above F Assume the roll can be treated as a cylinder with a mass of 0.21 kg, a width of 11.5 cm, and a radius of 7.5 cm. Point B is a vertical distance d=13 cm from point A. UBC Engineering

The 44-kg disk is rotating at w = 130 rad/s. When the force P is applied to the brake as indicated by the graph. The coefficient of kinetic friction at B is µk = 0.5. Neglect the thickness of the brake. (Eigure 1) Figure 1 of 1 P (N) 500 1 (3) 300 mm 300 mm 150 mm 200 mm

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