Q6. A wheel with a mass m = 25 kg, rolling radius r = 0.35 m and centroidal radius of gyration k = 0.3 m, rests on a cart of mass M = 50 kg. as shown in Figure Q6. The coefficients of friction between the wheel and the cart are =.3 and =0.2, respectively. You are required to determine the maximum horizontal force P that may be applied to the cart for which the wheel not slip as it begins to roll on the cart. Your solution must contain the following information in the order as listed: (a) Identification of the type of ensuing motion of the wheel and the cart. (b) (c) (d) Free-body, kinematic and kinetic diagrams of the system. Statements in readily usable format of the relevant kinetic and kinematic relationships with respect to a global reference axes system. Details, in a concise and systematic way, of calculations of the maximum value of P. M m, r, k Hs, Hk

Figure shows a system of cylinder (m = 50 kg) and a load (m = 30 kg) connected through a rope. The system is released from rest and the load L moves along the inclined surface. The kinetic coefficient of friction between the load and the inclined surface is 0.22. The radius of gyration of the cylinder is 0.8 m. Take d1 = 0.5 m, d2 = 1.4 m, and a = 34°. Determine the angular velocity of the cylinder after the load L slides 1.6 m on the inclined surface. d2 d1 C

Can someone please help me to solve the following question showing all needed work and formulas along with needed diagrams. Please and thank you!

4. A pulley of radius R and rotational inertia I is mounted on an axle with negligible friction. A light cord passing over the pulley has two blocks of mass m attached to either end, as shown above. Assume the cord does not slip on the pulley. Determine the answers to parts a. and b. in terms of m, R1, I1, and fundamental constants. a. Determine the tension T in the cord. b. One block is now removed from the right and hung on the left. When the system is released from rest, the three blocks on the left accelerate downward with an acceleration g/3. Determine the following. i) The tension T3 in the section of cord supporting the three blocks on the left. ii) The tension T in the section of cord supporting the single block on the right. iii) The rotational inertia I1 of the pulley. 2R1, 16/ R./ c. The blocks are now removed and the cord is tied into a loop, which is passed around the original pulley and a second pulley of radius 2R1 and rotational inertia 1611. The axis of the original…