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UCB - MCD4550 - Engineering Numerical Analysis - Trimester 2 - 2025

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What type of oscillation results from a srping damper system where dA = 20 kg/s, k = 100 N/m, and m = 3 kg?

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A vehicle is travelling at 72 km/h (20 m/s) when the driver sees a couple walk out on to the road 20m ahead (d=20m). The driver brakes immediately and stops just in time to avoid impact (i.e braking distance is 20m). The vehicle decelerates at a constant, gradual rate without skidding.

If the mass of the car is 1000kg, what was the work and power required to decelerate the vehicle?

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If a damped oscillator has the following characteristics:

m = 2 kg; x0 = 90 cm; k = 17 Nm-1; dA = 11 kgs-1,

then it will be:

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Which of the following statements is true about oscillating systems?

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A 22kg block is traveling at a speed of 100 m/s. This block now collides elastically with a 35kg block. If the 22kg block comes to rest right after the collision, what are the initial and final velocities of the 35kg block?

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If a bouncing ball and the ground have a coefficient of restitution of e = 0.870, ignoring air resistance, what is the ratio of the height of the (n + 1)th bounce to the height of the nth bounce?

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When the driver applies the brakes of a light truck travelling at 40 km/h, it skids 3 m before stopping. How far will the truck skid if it is travelling 80 km/h when the brakes are applied?

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Determine the required height h of the roller coaster so that it will reach a speed of 100 km/h at the bottom B while starting from the resting position at the crest of hill A. Use g = 9.81 m/s2.

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