# Project #7368 - Dynamics and Statics

1. A car accelerating uniformly in a straight line has speed of 9m/s and 24m/s at times seperated by 10 seconds. How far does it go during the period, and what is its acceleration.

(Criteria: Use the equalities of motion to solve constant acceleration problem, including projectiles).

2. A football is kicked from ground level so its initial speed is 18m/s and at angle of 45 degrees above the horizontal. Find

a) The time of flight

b) The range

c) The maximum height of the ball.

(Criteria: Use the equalities of motion to solve constant acceleration problem, including projectiles).

3. State

a) The principle of moments

b) The conditions for static equilibrium

(Define moment, centre of mass and couple)

(State the principle of moments)

(State the condition for static equilibrium)

4. A uniform beam 3m long has weights 20N AND 30N attached to its ends. If the weight of the beam is 50N find the point on the beam where a support should be placed so that the beam will rest horizontally.

(Solve problem by stating the principle of moments)

5. Define linear momentum, conservation of linear momentum and impulse. What do you understand from impulse - momentum theorem.

(Define linear momentum, state the conversion of linear momentum, solve problem involving impulse and momentum)

6. A batsman in a net hits a ball of mass 0.15kg at a speed of 40m/s. The ball strikes the netting and is brought to rest in 0.5 seconds. Find the average force exerted by the netting on the ball.

(Solve problem involving impulse and momentum)

7. A railway truck of mass 3m, travelling at a speed of 2v, collides with another of mass 4m. travelling at a speed of v. The trucks become coupled together. Find the terms of v, the common speed of the trucks after impact when

a) they are travelling in the same direction

b) they are travelling in the opposite direction

(Use above two points to solve simple problems)

8. A particle of mass 6kg starts from the rest and accelerates uniformly. The resultant force on the particle has a magnitude 15N. Fine the time taken to reach a speed of 10m/s.

(State and apply newtons law of motion)

9. A plank of length 5m is inclined so that the higher end is 3m above the lower. A block of mass 40kg is dragged at constant speed up the plank against a friction force of 120N. Find the total work done.

(SOlve problems involving the interchange of kinetic and potential energy, work and power)

10. A man walks 2km due east from O to A and then 3km in a north-east direction from A to B. Find the distance from O to B and the direction by

a) drawing a vector diagram using scale of 2cm=1km

b) By calculation

(Find the resultant of two coplanar vectors by diagram and calculation)

11. A force of 500N is being applied to a particle at an angle of 30 degrees to the horizontal. Draw the vector diagram to show this force and resolve it into its horizontal and vertical components.

(Resolve vectors into components)

 Subject Mathematics Due By (Pacific Time) 06/06/2013 10AM
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