Tutorial 9 ME101 (Engineering Mechanics) 2014-2015 Sem II Time: 8:00- 8:55 am Note: Each question carries 10 Marks ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ Q1. In Fig. 1, pin c is attached to rod BC and slides freely in the slot of rod OA which rotates at the constant rate ω. At the instant when β = 60o, determine (a) ṙ and , (b) r and . Express your answer in terms of d and ω. Fig. 1 Q2. At the bottom of a vertical loop (Fig. 2) in the x-y plane at an altitude of 400 m, the airplane has a speed of 600 km\h with no horizontal x-acceleration. The radius of curvature of the loop and at the bottom is 1200 m. For the radar tracking at O, determine the recorded values of R for this instant. 7.2 m 3m 7.2 m Fig. 2 Fig. 3 Q3. The car A in Fig 3. is ascending a parking-garage ramp in the form of a cylindrical helix of 7.2 m radius rising 3 m for each half turn. At the position shown, the car has a speed of 25 km/h, which is decreasing at the rate of 3 km\h per second. Determine the r-, -, and zcomponents of acceleration of the car. Q4. At a certain instant, cylinder A, in Fig. 4 has a downward velocity of 0.8 m\s and an upward acceleration of 2 m\s2. Determine the corresponding velocity and acceleration of cylinder B. Fig. 4

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