4. The roller is 50 lb. If P = 30 lb, determine; a) the angular acceleration b) the coefficient of friction. Assume the roller to be a uniform cylinder and that no slipping occurs. P 30° 1.5 ft

P.1) The uniform cylinder of mass m = 100 kg and radius r = 0.5 m is released from rest on a sloped surface. The coefficient of friction between the cylinder and the sloped surface is µ. a. Determine whether the cylinder slips on the surface if µ = 0.1. b. Find the cylinder's angular and linear acceleration if u = 0.3. 30°

The 0.2 kg pin (P) is constrained to move in the smooth slot, defined by r= (0.6 cos 26) m. The slotted arm OA has a constant angular velocity of – 3 rad/s. Motion is in the vertical plane. a) Draw both the FBD and the KD diagram of the pin at e=0°. b) What is a, and ae of the pin when e=0°? c) What is the force of arm OA on the pin P when e=0°? r = (0.6 cos 20) m P. A

8. The 20 kg uniform disk of radius r= 0.4 m is at rest on the incline (0 = 20°) when a constant force T= 200 N is applied as shown pulling the cord that is securely wrapped around the rim of the disk. If the coefficients of friction on the incline are u, = 0.3 and u, = 0.2, determine the friction force between the disk and the incline, the angular acceleration of the disk, and the acceleration at the mass center G. F (magnitude and direction) - T a (magnitude and direction) =. ac (magnitude and direction) = G

The 16-kg wheel is rolling under the constant moment of M = 60 N-m. The wheel has radius r= 0.50 m, has mass center at point G, and the radius of gyration is kg = 0.23 m. The coefficients of friction between the wheel and the ground is ls = 0.28 and Uk = 0.14. If the wheel rolls without slipping, determine the angular acceleration of the wheel (in rad/s?). 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/s?. M

The 100 kg cylinder has an angular velocity of 30 rad/s If the coefficient of kinetic friction is 0.2. The axle through the cylinder is connected to 2 symmetrical links (only AB is shown) Assume that the links are massless. 11 20⁰ 500 mm Mass moment of inertia (kg.m²) FAB (N) Normal force with the ground N (N) co = 30 rad/s Choose C 2 D B 200 mm

The cylinder is uniform and has a mass of 5.00 kg. It is released from rest.a) Calculate the least coefficient of friction between the cylinder and the plane for which the cylinder will roll without slipping.b) Calculate the acceleration of the center of mass G of the cylinder if it rolls without slipping.

Part A The arm is rotating at a rate of 0 = 4 rad/s when 6 = 3 rad/s and 0 = 180°. It is confined to move along the slotted path. Motion occurs in the horizontal plane. (Figure 1) Determine the force it must exert on the 0.25-kg smooth cylinder. Express your answer to three significant figures and include the appropriate units. ? F = Value Units Submit Request Answer Provide Feedback Figure <) 1 of 1 e = 4 rad/s, ö = 3 rad/s e = 180° ) m

Please answer quickly. Thanks

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.