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

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Calculate the distance travelled by a 50-kg crate at s when pulled by the force N as shown below. The coefficient of kinetic friction between the crate and the ground is .  Assume the crate starts from the rest at s.

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The conveyor belt is moving at 4 m/s. If the coefficient of static friction between the conveyor and the 10-kg package is , determine the shortest time the belt can stop so that the package does not slide on the belt.

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The small 2 kg block A slides down the curved path and passes the lowest point B with a speed of 4 m/s. If the radius of curvature of the path at B is 1.5 m, determine the normal force N exerted on the block by the path at this point. (g=9.81 m/s2)

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A body rotating around a fixed axis with increasing tangential velocity will experience:

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The 2-kg block B and 15-kg cylinder A are connected to a light cord that passes through a hole in the centre of the smooth (frictionless) table as shown in the figure. If the block is given a speed of m/s, it is just enough to keep it moving in a circle at constant speed.

Determine the radius r\) of the circular path along which it travels.

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A block of mass 10 kg is moving up a curved frictionless slope of radius 5m. Which of the following free body diagrams should be used to most easily determine the correct radial acceleration from the equations of motion?

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Which of the following statements regarding rotational motion are correct? 

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Calculate the distance travelled by a 50-kg crate at s when pulled by the force N as shown below. The coefficient of kinetic friction between the crate and the ground is .  Assume the crate starts from the rest at s.

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The conveyor belt is moving at 4 m/s. If the coefficient of static friction between the conveyor and the 10-kg package is , determine the shortest time the belt can stop so that the package does not slide on the belt.

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b) What is the equation of motion of the airliner in the x-direction?

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