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# hw9 - does not slip on the pulleys and neglect the mass of...

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ME 244 Assignment 9 Spring 2010 Department of Mechanical Engineering, Yeditepe University Due date: 14 May 2010, Friday - 5 PM Policy: The assignments should be done by each student individually, not as group work. The due date and time is Friday 5 PM, one week after the assignment is given. No late submissions are accepted. The assignments should be submitted to the Teaching Assistant of the course, Batuhan Baturalp (Room A702). 1. The drum has a mass of 50 kg and a radius of gyration about the pin at O of k O = 0 . 23 m. If the 15-kg block is moving downward at 3 m/s, and a force of P = 100 N is applied to the brake arm, determine how far the block descends from the instant the brake is applied until it stops. Neglect the thickness of the handle. The coeﬃcient of kinetic friction at the brake pad is μ k = 0 . 5. 2. (2 points) The system consists of 30-kg and 10-kg blocks A and B, respectively, and 2.5-kg pulleys C and D that can be treated as thin disks. Determine the speed of block A after block B has risen 1.5 m, starting from rest. Assume that the cord

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Unformatted text preview: does not slip on the pulleys, and neglect the mass of the cord. 3. The 100-kg ﬂywheel has a radius of gyration about its center of gravity O of k O = . 225 m. If it rotates counterclockwise with an angular velocity of 1400 rev/min before the brake is applied, determine the time required for the wheel to come to rest when a force of P = 1000 N is applied to the handle. The coeﬃcient of kinetic friction between the belt and the wheel rim is μ k = 0 . 4. (Hint: Recall from the statics text that the relation of the tension in the belt is given by T B = T C e μβ , where β is the angle of contact in radians.) 4. A 2-kg mass of putty D strikes the uniform 10-kg plank ABC with a velocity of 10 m/s. If the putty remains attached to the plank, determine the maximum angle θ of swing before the plank momentarily stops. Neglect the size of the putty. 1 Figure 1: Questions 1 and 2 Figure 2: Question 3 and 4 2...
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hw9 - does not slip on the pulleys and neglect the mass of...

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