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Tec 114: Basic Mechanics Question Paper
Tec 114: Basic Mechanics
Course:Bachelor Of Electrical And Electronics Engineering
Institution: Moi University question papers
Exam Year:2010
Course Code: TEC114
Course Title: Basic Mechanics
QUESTION ONE
a. A 15-m uniform ladder weighing 500 N rests against a frictionless wall. The ladder makes a 60 degree angle with the horizontal.
i. Find the horizontal and vertical forces that the earth exerts on the base of the ladder when an 800-N firefighter is 4m from the bottom.
ii. If the ladder is just on the verge of slipping when the firefighter is 9 m up, what is the coefficient of static friction between the ladder and ground? (13mks)
b. A lift of mass 1,200 kg can carry up to a load of 1,000 kg. A constant frictional force of 4,500 N retards its motion upwards.
i. What must be the minimum rowse delivered by the motor to lift it at constant speed of 3m/s?
ii. What power must the motor deliver at any instant if it is designed to provide an upward acceleration of 1m/s2 (12mks)
QUESTION TWO
a. A 3-kg sphere makes a perfect inelastic collision with a second sphere initially at rest. The composite system moves with a speed equal to one third the original speed of the 3-kg sphere. What is the mass of the second sphere? (4mks)
b. A 1,500-kg automobile travels eastwards at a speed of 8m/s. It makes a 90 degree turn to the north in a time of 3 sec and continues with the same speed. Find
i. The impulse delivered to the car as a result of the turn
ii. The average force exerted on the car during the turn (9mks)
c. A 5-g particle moving to the right with a speed of 20 cm/s makes elastic head-on collision with a 10-g particle initially at rest. Find
i. The final velocity of each particle and
ii. The fraction of the total energy transferred to the 10-g particle (12mks)
QUESTION THREE
A boy kicks a ball in front of a wall. The ball is hit at an angle of 40 degrees and just passes over the wall of about 3 m. If the wall is about 67% of the maximum height the ball can reach, determine the velocity and direction just after the ball bounces from the ground if the cofficient of restitution between the ground and the ball is 0.8 (25mks)
QUESTION FOUR
A mass of 8 kg is connected to two springs A and B. The surfaces are smooth and the mass is set to oscillate with an amplitude of 50 mm. If the spring A has stiffness 800 N/m;
a. What must be the stiffness of spring B for the frequency to be 2 Hz? (10mks)
b. What is the maximum force in each spring if both springs are initially unloaded? (6mks)
c. What is the maximum accelerating force on the masses? (9mks)
QUESTION FIVE
a. A 2-tonne truck travelling up a hill with inclination 1 in 4 has its engine off while travelling at 50km/h. At what distance will it stop if the driver does not apply the brakes? Take the dynamic coefficient of friction to be 0.22 and use work-energy equation. (12mks)
b. Fortunately for the driver, at the point where the truck stopped is where the level road starts. If the engine is started, determine average power required to uniformly accelerate the truck to a speed of 80km/h on the level road after covering 500 m from the point when the engine went off. (7mks)
c. What would be the power developed if the truck moves at constant speed of 80km/h on the level ground? (5mks)
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