mechanics(dynamics)

here is questions attached below.

1) A ball is thrown directly upwards at a velocity of 20m/s from a height
of 2m. Assuming no effect of air resistance or wind, calculate the time
in seconds that it takes for the ball to reach the ground??

2) A 10kg weight is travelling at 3m/s downwards when it strikes a
spring of rate 4kN/m. Calculate the maximum deflection of the spring in
metres?

3)

For the image shown calculate the magnitude of vA in mm/s

4)

For the image shown calculate the magnitude of vB in mm/s

5)

For the image shown calculate the magnitude of vB/A in mm/s

6)

For the image shown calculate the magnitude of ω in rad/s

7)

The vehicle is used to transport supplies to and from the bottom of the
25-present grade. Each pair of wheels, one at A and the other at B, has

a mass of 140 kg with a radius of gyration of 150 mm. The drum C has
a mass of 40 kg and a radius of gyration of 100 mm. The total mass of
the vehicle is 520 kg. The vehicle is released from rest with a restraining
force T of 500 N in the control cable which passes around the drum and
is secured at D. The wheels roll without slipping.
Calculate the inertia of wheel A about its centre in kg.m2

8)

The vehicle is used to transport supplies to and from the bottom of the
25-present grade. Each pair of wheels, one at A and the other at B, has
a mass of 140 kg with a radius of gyration of 150 mm. The drum C has
a mass of 40 kg and a radius of gyration of 100 mm. The total mass of
the vehicle is 520 kg. The vehicle is released from rest with a restraining
force T of 500 N in the control cable which passes around the drum and
is secured at D. The wheels roll without slipping.

Calculate the inertia of wheel C about its centre in kg.m2

9)

The vehicle is used to transport supplies to and from the bottom of the
25-present grade. Each pair of wheels, one at A and the other at B, has

a mass of 140 kg with a radius of gyration of 150 mm. The drum C has
a mass of 40 kg and a radius of gyration of 100 mm. The total mass of
the vehicle is 520 kg. The vehicle is released from rest with a restraining
force T of 500 N in the control cable which passes around the drum and
is secured at D. The wheels roll without slipping.

Determine the initial acceleration a of the vehicle in m/s2
Answer

10)

11) from Q10, Calculate the magnitude of the force at the exhaust in
Newtons

12) from Q10, Determine the tension T in the diagonal member of the
supporting test stand in kN

13)from Q10, Calculate the force F (in kN) exerted on the nozzle flange
at B by the bolts and gasket to hold the nozzle to the engine housing.