Fluid Mechanics: bouyance, harmonic motion, period

Consider an object with height h, mass M, and uniform cross sectional area A floating upright in a liquid with density p. a.) Calculate the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium. b.) A downward force of magnitude F is applied to the top of the object. At the ...continues

Elasticity

A bar with cross sectional area A is subjected to equal and opposite tensile forces F at its ends. Consider a plan through the bar making an angle θ with a plane at right angles to the bar. a.) what is the tensile (normal) stress at this plane in terms of F, A, and θ ? b.) what is the shear (tangential) stress a ...continues

Power

A car maintains a maxiumum speed of 20 meters per second on an uphill road at an angle of 30 degrees. The weight of the car is 10,000 newtons. Determine (a) Power needed to maintain the speed uphill in Kw. (b) Minimum time it will take to accelerate from rest to 30 meters per second on a level road. (c) Max speed it will be a ...continues

Collisons

A car with a mass of 2200 kgm traveling at a velocity of 20 m/sec collides with a parked car. After the collision its velocity is +10 m/sec. If the mass of the parked car is 1200 kgm, determine (a) Speed of the parked car after the collision. (b) Average force exerted on the parked car if the collision time (delta t) =0.1 sec ...continues

Circular momentum

A plane heading due North makes a level turn with a speed of 100 m/s. The angle of the bank is 15 degrees. Determine (a) Radius of the circular path (b) Cetripetal acceleration. (c) Lift force (d) direction of velocity after 30 seconds. (Weight of the plane is 19600 Newtons)

Power

A car maintains a maxiumum speed of 20 meters per second on an uphill road at an angle of 30 degrees. The weight of the car is 10,000 newtons. Determine (a) Power needed to maintain the speed uphill in Kw. (b) Minimum time it will take to accelerate from rest to 30 meters per second on a level road. (c) Max speed it will be able ...continues

Collision or a parked car: speed, average force and momentum

A car with a mass of 2,200 kg traveling at a velocity of 20 m/sec collides with a parked car. After the collision its velocity is +10 m/sec. If the mass of the parked car is 1,200 kg, determine: (a) Speed of the parked car after the collision. (b) Average force exerted on the parked car if the collision time (delta t) =0. ...continues

Momentum - An 82kg man drops from rest on a diving board 3.0 m above the surface of the water and comes to rest 0.55 s after reaching the water. What force does he water exert on him?

An 82kg man drops from rest on a diving board 3.0 m above the surface of the water and comes to rest 0.55 s after reaching the water. What force does he water exert on him?

Momentum

A 2500 kg car traveling to the north is slowed down uniformly from an initial velocity of 20.0 m/s by a 6250 N braking force acting opposite the car's motion. Use the impulse-momentum theorem to answer the following questions: a. What is the car's velocity after 2.50 s? b. How far does the car move during 2.50 s? c. How ...continues

Power, work

A car can accelerate from rest to 25 m/sec in 12 seconds on a level road. The weight of the car is 10,000 newtons. Determine (a) power used in the acceleration in Kw. (b) Maximum speeed it will be able to maintain on an uphill road of angle 30 degrees. (c) Work done by the force during the first 5 seconds from start. (d) avera ...continues