Question

1. M, and M; are two masses connected as shouwn in Fig 1. The paulley is ight and frctionless. (a) Find the mass Mi, given that M: (2.0kg) acoelerates upwards at 2.0m/sec, that e is 35., and that μ¡ is 0.35, (b) What is the tension? 2. Two blocks with masses m:-18.7 kg and m-91.0 kg, shown in the fig. 2, ane free to move. The coefficient of static friction between the blocks is 0.87 but the surface beneath m is frictionless. (a) What is the minimum force F required to bold m, against m,? db) What is the contact force between the masses? 3. A 6.0kg hall is thrown straight up from the ground with its initial vertical speed, 15.0m/ sec. After it reaches the maximum height, it falls dowm to 1. 5m above the ground. (a) Calculate the total work done by the gravitational force during the time. (b) What is the kinetic enersy of the ball at the height, 1.0m? . A mass M of 2.57 kg is aitached to the end of a string whose length is 0.430 m. The mass slides without friction on a horiaontal surface as indicated in the diagram. (a) If the string can d a maximum tension of 79.9 N, what is the maximom tangential speed the ball can have before the cord breaks? (b) The same mass, with a new string, is whirled in a vertical circle of the same radius about a fixed point.Find the magnitude of the teesion when the mass is ut the sop if its speed at the top is 7.81 m/s Fig 1. Fig. 2 Fig. 3

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Answer 1