A launcher released a ball with an initial velocity of 45 ft/s at an angle β of 27o above the surface of the inclined plane, which is inclined at an angle of 29o above the horizontal. Neglecting air resistance, calculate the distance, measured along the incline, from the launch point where the ball strikes the incline. What is its maximum height? What angle β gives the maximum range, measured along the incline?
A launcher released a ball with an initial velocity of 45 ft/s at an angle β of 27o above the surface of the inclined plane, which is inclined at an angle of 29o above the horizontal. Neglecting air resistance, calculate the distance, measured along the incline, from the launch point where the ball strikes the incline. What is its maximum height? What angle β gives the maximum range, measured along the incline?
A launcher released a ball with an initial velocity of 45 ft/s at an angle β of 27o above the surface of the inclined plane, which is inclined at an angle of 29o above the horizontal. Neglecting air resistance, calculate the distance, measured along the incline, from the launch point where the ball strikes the incline. What is its maximum height? What angle β gives the maximum range, measured along the incline?
A launcher released a ball with an initial velocity of 45 ft/s at an angle β of 27o above the surface of the inclined plane, which is inclined at an angle of 29o above the horizontal. Neglecting air resistance, calculate the distance, measured along the incline, from the launch point where the ball strikes the incline. What is its maximum height? What angle β gives the maximum range, measured along the incline?
What is the maximum speed at which the car can round a curve of 30-m radius on a level road is the coefficient of friction between the tires and road is 0.8? As an engineer, you designed that a curve is to banked so that the car may turn the curved road at a speed of 45 kph without depending on friction, what must be the banking angle?
A pulley of 5-cm radius, on a motor, is turning at 1,800 rpm and slows down uniformly at 1,200 rpm in 2 seconds. Calculate the angular acceleration of the motor, the number of revolution it makes in this time, and the length of the belt it winds in this time.
As an aerospace engineer, your spaceship orbits the Moon at a height of 20 km. Assuming it is subject only to the gravitational pull of the Moon, find its speed and the time it takes for one orbit. For the Moon, its mass is 7.34 x 1022 kg and its radius is 1.738 x 106 m.
A pump discharges 600 L of fuel oil having a density of 0.82 g/cm3 into a tank 20 m above the pump’s intake. Calculate the work done against gravity by the pump in kJ, ft lb, and kWh.
In unloading a grain from a hold of a ship, an elevator lifts the grain through a distance of 12 m. Grain is discharged at the top of the elevator at a rate of 2.0 kg each second, and the discharged speed of each grain particle is 3 m/s Find the minimum-horsepower motor that can elevate the grain in this way if it is 60% efficient.
A large roller in the form of a uniform cylinder is pulled by a tractor to compact earth; it has a 180-cm diameter and weighs 10 kN. If frictional losses can be ignored, what average horsepower must the tractor provide to accelerate it from rest to a speed of 14.4 kph in a horizontal distance of 3 m?
A ball is dropped onto a horizontal floor. It reaches a height of 144 cm on the first bounce, and 81 cm on the second bounce. What is the coefficient of restitution between the ball and the floor, and the height it attains on the third bounce?
A 6000-kg truck travelling North at 18 kph collides with a 4,000-kg bus moving West at 54 kph. If they remain locked together after the impact, with what speed and in what direction do they moved immediately after the collision? How much kinetic energy is lost in the collision?
An automobile starting from rest speeds up to 72 kph with a constant rate of 4 m/s2, runs at this speed for a time, and finally comes to rest at a rate of 5 m/s2. If the total distance travelled is ½ km, what is its average speed for the whole trip?
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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