4. 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

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4 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 1 (118.18 KiB) Viewed 18 times

4. 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 4. The static and kinematic coefficients of friction between the wheel and the cart are Is = 0.3 and 4: = 0.2, respectively. A horizontal force P is applied to the cart as shown. (a) Identify the type of ensuing motions of the wheel and the cart. (2 marks) (b) Set up a global axes system and draw the free body, kinematic and kinetic diagrams of the system. (8 marks) (c) Determine the maximum value of horizontal force P that may be applied to the cart for which the wheel will not slip as it begins to roll on the cart. (15 marks) Total: [25 marks] m, t, že fut ܨܠܐ. U M