Problem 3 The inner drum of a wheel is wrapped around by a cord and pulled horiz

Question

Problem 3 The inner drum of a wheel is wrapped around by a cord and pulled horizontally with a forces of 250N. The combined inner drum and wheel has a mass of 60 kg and a combined radius of gyration of 70 mm. The radii of the inner drum and the wheel are 50mm and 110mm, respectively. Knowing that the coeffecient of static friction (Mew s) = .2 and the coeffecient of kinetic friction (Mew k) = .15, determine (a) whether the wheel slides or not (b) the acceleration of G (c) and the angular acceleration of the wheel (d) the acceleration of B

Explanation / Answer

250+f=60*a (250*50+110f)*1000=60*70*70*(p), p-->angular accn. solving f>(0.2)*N a. so slipping takes place therefore f=0.15*60*9.8=88.2N b. a=5.64m/s^2 c.p=75.5 rad/s^2 d. sqrt(5.64^2+(75.5*110*10^-3)=6.33m/s^2

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