ENGINEERING MECHANICS

premopremo remo · 75問 · 2年前

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問題一覧

What is the increase in potential energy of a 1kg mjeat when lifted from the floor to a table

9.81 joules

The equation of the curve formed by the path of a projectile is a

parabola

A spacecraft's engine provides a total thrust of 1,500 kN, If the exhaust speed is 9000 kph at what rate is the fuel being used

900 kg/sec

Impulse is the change in

momentum

Momentum is most closely related to

impluse

The mass of a certain object is 10 grams, What would its mass when taken to the planet Mars?

10 grams

A stone is dropped down a well and 3 sec later the sound of the splash is heard, if the velocity of sound in still air is 342 m/sec, what is the depth of the well?

40.6 m

A ball is rolled off the edge of a table 3 ft high with a horizontal velocity of 4 fusec. With what velocity does it strike the floor?

4 ft/sec

A bullet is fired at an angle of 75° with the horizontal with an initial velocity of 420 m/s. How high can it travel after 2 seconds?

792 m

Using a powerful airgun, a steel ball is shot vertically upward with a velocity of 80 m/s followed by another shot after 5 seconds. Find the initial velocity of the second ball in order to meet the first ball 150 m from the ground.

61.3 m/s

A motonst is travelling at 70 kph noticed the traffic light 120 m away tumed red. The traffic light was designed to stay red for 10 seconds before it turns green again. If the motornst decided to pass the traffic light without stopping (nor breaking any traffic rules), determine the motorist deceleration and the velocity with which the motorist passed the traffic light

1.49 m/sec^2 / 4.55 mps

The brakes of a car whose initial velocity is 30 m/sec are applied and the car receives a deceleration of 2~m/sec2. How far will it have gone when its velocity has decreased to 15

169 m

A car moving at 30 m/sec slows uniformly to a speed of 10 misec in a time of 5 sec. Determine the distance it moves in the third second.

20 m

Water drips from a faucet at 4 drops/second. Neglecting air resistance, find the distance between two consecutive drops if the upper drops has been in motion for 3/8 seconds.

1.225 m

A man wishes to ascertain the height of a cliff. He drops a piece of rock at the edge and heard the striking sound of the rock at the base of the cliff 10 seconds later. Calculate the height of the cliff if the velocity of sounds is taken as 1,100 fps.

1.265 ft

In a 20-storey office building, an elevator starting from rest at the first floor is accelerated at 0.76m/s2 for 5 seconds, continous at constant velocity for 12 seconds and is then stopped in 3 seconds. If the floors are 3.75 meters apart, at what floor does the elevator stop?

18th

A man standing at a window 5 m tall watches a falling ball pass by the window in 0.3 seconds. From how high above the top of the window was the ball released?

11.8 m

A baseball pitcher can throw a ball at 50 m/s. At what angle should the ball leave his hand so that a catcher 150 m away at same elevation and same vertical plane can catch the ball conveniently?

72°

A projectile is launched upward from level ground at an angle of 60° with the horizontal. It has an initial velocity of 45 m/s. How long will it take before the projectile hits the ground?

7.94 sec

A projectile is fired at 30° angle with the horizontal. It has a velocity of 200 fps. Find the maximum height that it can attain.

155.280 ft

A golf ball is driven horizontally from an elevated tee with a velocity of 80 fusec, it strikes the fairway 2.5 seconds later. How far has it traveled horizontally?

200 ft

A Filipino football player kicks the ball at an angle 37 along football field horizontally with an initial velocity of 48 ft/sec. A second player standing at a distance of 100 ft from the source of the kick starts running to meet the ball at the instant it is kicked. How fast must be second player runs in order to catch the ball before it hits the ground? Assume the speed of the player is constant.

17.39 ft/sec

A toy rifle is fired at an angle of 60° above the horizontal. If the pellet's initial velocity is 15 m/sec, what is the time of flight?

2.65 sec

An airplane is in level flight at a velocity of 300 mph and at an altitude of 5000 ft when it drops the bomb. What will the bomb's velocity be on impact?

718 ft/sec

Find the angle of elevation of a gun which fires a shell with a'muzzle velocity of 366 m/sec at a target on the same level but 4575 m distant

4.98°

What minimum initial velocity must a rocket have to reach a target 100 miles away?

2812 mph

A projectle is launched at 600 fps with a 30° inclination from the honzontal. The launch point is on a plateau 500 ft above the plane of impact. Neglecting air friction, find the maximum altitude above the plane of impact.

1898 ft

Find the formula for the minimum velocity for a given range of a projectile fired on a level plane.

√gR

A projectile with inital velocity vo=300~m/s is fired 30° up a hill inclined 20. Find the range along the inclined.

6,685.168 m

A ballast bag is dropped from a balloon that is 300 m above the ground and rising 13 m/sec For the bag, find the maximum height it reached.

308.6 m

An US bomber is flying horizontally at 300 mph at an altitude of 610 m. Its target is an Iraqi oil tanker cruising 25 kph in the same direction and same vertical plane. What horizontal distance behind the tanker must the pilot obsearve before he releases the shell to score a direct hit?

1417.83 m

A golf ball is driven horizontally from an elevated tee with a velocity of 80 ft/sec, it strikes the fairway 2.5 seconds later. What is the magnitude and direction of its resultant velocity in ft/sec, just before it strikes, below the horizontal?

113 & 45 deg

A ball is thrown vertically upward with an initial speed of 80 ft/sec. How long will it take for the ball to return to the thrower?

4.97 sec

24. A baseball is thrown with an inital velocity of 100 m/sec at an angle of 30° above the horizontal level ground. How far from the throwing point will the baseball attain its original level?

883 m

A ball is whirled in a horizontal circle 1.5 ft in radius at a rate of 1 revolution in every 2 sec Find the ball's centripetal acceleration.

14.7 ft/sec

What is the acceleration due to gravity at a certain place where a simple pendulum 150 3 cm long makes 100.00 vibrations in 246.7sec?

9.75 m/sec^2

A heavy brass plumb-bob suspended from a 38-inch cord was observed to have a neutral period of oscillation of about two seconds if pulled 24 inch to one side and then allowed to swing freely. If an astronaut was to repeat this experiment on the moon where the gravitational attraction is approximately 1/6th that of the earth, the obsearved period would be:

4.9 secs

Find te length in meters of the simple pendulum whose period is 2 seconds.

0.994

An empty truck whose mass is 2000 kg has a maximum acceleration of 1m/sec^{2} What will its maximum acceleration be when it cames a load 1 metric ton?

0.667 m/sec^2

An elevator weighing 3,200 lbs rises with an acceleration of 4 ft/sec/sec. What is the tension of the supporting cable?

3,600 lbs

An elevator starts from rest with a constant upward acceleration. It moves 2 m in the first 0.6 sec. A passenger in the elevator is holding a 3 kg package by vertical string. What is the tension on the string during the accelerating process.

62.7 N

A 3 lb weight hangs at the end of a spring which has k=25~lb/ft If the weight is displaced slightly and released, with what frequency will it vibrate?

2.61 Hz

A 20N weight is supported by two nspirings in series. The first spring has a striffness of 1.0 N/mm and the second spring has a stiffness of 2.0 N/mm. The natural period of vibration is: (Use g=9804~mm/sec2)

0.35 sec

A 40-Ib electric motor is mounted on four vertical springs, each having a spring constant of 15 lb/inch. Find the period with which the motor vibrates vertically.

0.26 sec

A flywheel whose moment of inertia is 6 kg-m2 is acted upon by a constant torque of 50 N- m. How long does it takes to go from rest to an angular velocity of 90rad/sec?

10.8 sec

A flywheel has a moment of inertia of 8.9 slug-ft2. What constant unbalanced torque is required to increase its speed from 2 rev/sec to 5 rev/sec in 6 revolutions?

97.9 lb-ft

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