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??

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.