This is the Multiples Choice Questions Part 8 of the Series in Engineering Mechanics as one of the General Engineering and Applied Sciences (GEAS) topic. In Preparation for the ECE Board Exam make sure to expose yourself and familiarize in each and every questions compiled here taken from various sources including past Board Questions in General Engineering and Applied Sciences (GEAS), Engineering Mechanics Books, Journals and other Engineering Mechanics References.
Online Questions and Answers in Engineering Mechanics Series
Following is the list of multiple choice questions in this brand new series:
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Choose the letter of the best answer in each questions.
351. A simply supported beam is 5 meters in length. It carries a uniformly c\distributed load including its own weight of 200N/m and a concentrated load of 100N, 2 reactions from the left end. Find the reactions if reaction A is at the left end and reaction B at the right end.
- A. Ra = 810N & Rb = 700N
- B. Ra = 700N & Rb = 800N
- C. Ra = 810N & Rb = 780N
- D. Ra = 700N & Rb =8 10N
352. A beam of span ‘x’ meters with uniform loading of ‘w’ kilograms per meter is supported at one end (A) and a distance of 2 m from the other (B). Find the reaction at support A.
- A. (wx^2)/ [2(x-2)] kg
- B. [wx(x-4)]/[2(x-2)] kg
- C. [wx(x-2)]/[2(x-2)] kg
- D. wx/[2(x-2)] kg
353. When one boy is sitting 1.2m from the center of a see-saw, another boy must to sit on the other side 1.5m from the center to maintain an even balance. However, when the first boy carries an additional weight of 14kg and sit 1.8m from the center, the second boy must move to 3m from the center to balance. Neglecting the weight of the see-saw, find the weight of the heavier boy.
- A. 30kg
- B. 42kg.
- C. 34kg.
- D. 45kg.
354. A 40kg block is resting on an inclined plane making an angle of 20deg from the horizontal. If the coefficient of friction is 0.60, determine the force parallel to the incline that must be applied to cause impending motion down the plane.
- A. 82
- B. 77
- C. 87
- D. 72
355. A 250 lb. block is initially at rest on a flat surface that is inclined at 30deg. If the coefficient of kinetic friction is 0.30 and the coefficient of static friction is 0.40, find the force required to start the block moving up the plane.
- A. 190lb
- B. 212lb
- C. 125lb
- D. 75lb
356. A 600N block rests in a surface inclined at 30deg. Determine the horizontal force P required to prevent the block from sliding down. Angle of friction between the block and the inclined plane is 15deg.
- A. 160.75N
- B. 198.55N
- C. 164.60N
- D. 190.45N
357. Assume the three force vectors intersect at a single point.
F1 = 4i + 2j + 5k
F2 = –2i + 7j – 3k
F3 = 2i – j + 6k
What is the magnitude of the resultant force vector?
- A.14
- B. 12
- C. 13
- D. 15
358. Given the 3-dimensional vectors:
A = i(xy) + j(2yz) + k(3zx)
B = i(yz) + j(2zx) + k(xy)
Determine the magnitude of the vector sum |A + B| at coordinates (3,2,1).
- A.32.92
- B. 29.92
- C. 27.20
- D. 24.73
359. At what angle does the force F=6.23i – 2.38j +4.92k N makes with the x-axis?
- A. 39.2 deg
- B. 40.2 deg
- C. 41.3 deg
- D. 42.2 deg
360. Assume the three force vectors intersect at a single point.
F1 = i + 3j + 4k
F2 = 2i + 7j – k
F3 = -i + 4j + 2k
What is the magnitude of the resultant force vector, R?
- A. 15
- B. 13.23
- C. 14.73
- D. 16.16
361. A certain cable is suspended between two supports at the same elevation and 500ft apart, the load is 500lbs. per horizontal foot including the weight of the cable. The sag of the cable is 30feet. Calculate the total length of the cable.
- A. 503.76 ft.
- B. 502.76 ft
- C. 504.76 ft
- D. 501.76 ft
362. A cable supported at two points of same level has a unit weight, w of 0.02 kg per meter of horizontal distance. The allowed sag is 0.02 m and a maximum tension at the lowest point of 1200 kg and a factor of safety of 2. Calculate the allowable spacing of the poles assuming a parabolic cable.
- A. 64.02m
- B. 66.37m
- C. 67.76m
- D. 69.28m
363. A cable carrier a horizontal load of 20kg/m. Neglecting its own weight, find the maximum tension on the cable if the distance between the supports is 100m and the sag is 5m.
- A. 5099kg
- B. 5059kg
- C. 5199kg
- D. 5215kg
364. Determine the sag of a flexible wire cable weighing 60N/m over two frictionless pulleys 100m apart and carrying one 10kN weight at each end. Assume the weight of the cable to be uniformly distributed horizontally. The cable extends 5m beyond each pulley to the point they are attached to the weights.
- A. 7.2m
- B. 7.4m
- C. 7.6m
- D. 7.8m
365. A copper cable is suspended between two supports on the same level, spaced 600m apart. The cable hangs under the influence of its own weight only. Under these conditions, it is desired to calculate the maximum sag(at the center of the span) when the maximum stress in the material is 1000kg/cm^2. The cross section of the cable is 1.77 sq. cm. weight of the cable = 1.5kg/m. Use parabolic equation.
- A. 42.26m
- B. 43.26m
- C. 44.26m
- D. 45.26m
366. A cable weighing 0.4kg/m and 800m long is to be suspended with a sag of 80m. Determine the maximum tension.
- A. 414kg
- B. 420kg
- C. 416kg
- D. 400kg
367. A cable weighing 60N/m is suspended between two supports on the same level at 300m apart. The sag is 60m. Compute the distance of the lowest point of the cable from the ground level.
- A. 205.5m
- B. 196.8m
- C. 200.5m
- D. 188.2m
368. Find the location of the centroid of the composite area consisting of a 10-inch square surmounted by a semi-circle. The centroid of a semicircle is located 4r/3pi above the base(diameter) of the semicircle radius r.
- A. 6.0 inches from the bottom
- B. 6.2 inches from the bottom
- C. 6.4 inches from the bottom
- D. 7.0 inches from the bottom
369. Electrical loads are arranged on horizontal x,y axes as follows:
Load |
x-coordinate |
y- coordinate |
Kilowatt-load |
1 |
0 |
2 |
100 |
2 |
1 |
1 |
180 |
3 |
1 |
3 |
200 |
4 |
2 |
0 |
120 |
5 |
2 |
4 |
150 |
6 |
3 |
1 |
200 |
7 |
3 |
3 |
180 |
8 |
4 |
2 |
100 |
- A.x = 2.000, y = 2.049
- B. x = 2.163, y = 2.195
- C. x = 1.854, y = 2.211
- D. x = 2.146, y = 1.902
370. A rectangle has a base of 3cm and a height of 6cm. What is its second moment of area (in cm^4) about an axis through the center of gravity and parallel to the base?
- A. 64
- B. 34
- C. 44
- D. 54
371. A circle has a diameter of 20cm. Determine the moment of inertia of the circular area relative to the axis perpendicular to the area through the center of the circle in cm^4.
- A. 14,280
- B. 15,708
- C. 17,279
- D. 19,007
372. The moment of inertia of a section 2” wide x 2’ 0” high about an axes 1’0” above the bottom edge of the section is:
- A. 1834 in^4
- B. 384 in^4
- C. 9214 in^4
- D. 2304 in^4
373. An isosceles triangle has a 10cm base and a 10cm altitude. Determine the moment of inertia of the triangular area relative to a line parallel to the base and through the upper vertex in cm^4.
- A. 2750
- B. 3025
- C. 2500
- D. 2273
374. What is the moment of inertia of a cylinder of radius 5m and mass of 5kg?
- A. 120kg-m^2
- B. 80kg-m^2
- C. 62.5kg-m^2
- D. 72.5kg-m^2
375. What is the inertia of a bowling ball (mass = 0.5kg) of radius 15cm rotating at an angular speed of 10rpm for 6 seconds?
- A. 0.001kg-m^2
- B. 0.002kg-m^2
- C. 0.005kg-m^2
- D. 0.0045kg-m^2
376. What is the acceleration of the body that increases in velocity from 20m/s to 40m/s in 3 seconds?
- A. 5.00 m/s^2
- B. 6.67 m/s^2
- C. 7.00 m/s^2
- D. 8.00 m/s^2
377. How far does an automobile move while its speed increases uniformly from 15kph to 45kph in 20 seconds?
- A. 185m
- B. 167m
- C. 200m
- D. 172m
378. A train passing point A at a speed of 72 kph accelerates at 0.75 m/s^2 for one minute along a straight path then decelerates at 1.0 m/s^2. How far in km from point A will it be 2 minutes after passing point A?
- A. 3.60km
- B. 4.65km
- C. 6.49km
- D. 7.30km
379. From a speed of 75kph a car decelerates at the rate of 500m/ min^2 along a straight path. How far in meters will it travel in 45 seconds?
- A. 790.293m
- B. 791.357m
- C. 793.238m
- D. 796.875m
380. A train starting at initial velocity of 30kph travels a distance of 21km in 18 minutes. Determine the acceleration of the train at this instant.
- A. 0.0043 m/s^2
- B. 0.0206 m/s^2
- C. 0.0865 m/s^2
- D. 0.3820 m/s^2
381. An automobile moving at a constant velocity of a 15m/sec passes a gasoline station. Two seconds later, another automobile leaves the gasoline station and accelerates at a constant rate of 2m/sec^2. How soon will the second automobile overtake the first?
- A. 15.3 sec
- B. 16.8sec
- C. 13.5 sec
- D. 18.6 sec
382. If a particle position is given by the expression x(t) = 3.4t^3 – 5.4t meters, what is the acceleration of the particle after t=5 seconds?
- A. 1.02 m/s^2
- B. 102 m/s^2
- C. 3.4 m/s^2
- D. 18.1 m/s^2
383. The distance a body travels is a function of time and is given by x(t) = 18t + 9t^2. Find its velocity at t=2.
- A. 36
- B. 54
- C. 24
- D. 20
384. Determine the velocity of progress with the given equation: D = 20t + 5/(t+1) when t=4 seconds.
- A. 18.6 m/s
- B. 19.8 m/s
- C. 21.2 m/s
- D. 22.4 m/s
385. A ball is dropped from a building 100m high. If the mass of the ball is 10gm after what time will the ball strike the earth?
- A. 4.52s
- B. 4.42s
- C. 5.61s
- D. 2.45s
386. a ball is dropped from the roof of a building 40 meters tall will hit the ground with the velocity of;
- A. 50m/sec
- B. 28m/sec
- C. 19.8m/sec
- D. 30m/sec
387. Using a powerful air gun, a steel ball is shot vertically upward with a velocity of 80meters per second, followed by another shot after 5 seconds. Find the initial velocity of the second ball in order to meet the first ball 150meters from the ground.
- A. 65.3 m/sec
- B. 45.1 m/sec
- C. 56.2 m/sec
- D. 61.3 m/sec
388. A ball is thrown vertically upward from the ground and a student gazing out of the window sees it moving upward pass him at 5m/sec. The window is 10m above the ground. How high does the ball go above the ground?
- A. 15.25m
- B. 14.87m
- C. 9.97m
- D. 11.30m
389. A ball is dropped from a height of 60 meters above the ground. How long does it take to hit the ground?
- A. 2.1 sec
- B. 3.5 sec
- C. 5.5 sec
- D. 1.3 sec
390. A baseball is thrown from a horizontal plane following a parabolic path with an initial velocity of 100m/s at an angle of 30deg above the horizontal. How far from the throwing point will the ball attain its original level?
- A. 890m
- B. 883m
- C. 880m
- D. 875m
391. A plane dropped a bomb at an elevation of 1000meters from the ground intended to hit the target at an elevation of 200meters from the ground. If the plane was flying at a velocity of 300km/hr, at what distance from the target must the bomb be dropped to hit the target. Wind velocity and atmospheric pressure to be disregarded.
- A. 1024.2m
- B. 1055.6m
- C. 1075.5m
- D. 1064.2m
392. The muzzle velocity of a projectile is 1500fps and the distance of the target is 10 miles. The angle of elevation of the gun must be:
- A. 21^{o}59’
- B. 22^{o}41’
- C. 24^{o}43’
- D. 25^{o}18’
393. A shot is fired at an angle of 45 degrees with the horizontal and a velocity of 300fps. Calculate, to the nearest value, the range of the projectile.
- A. 932 yards
- B. 1200 yards
- C. 3500 yards
- D. 4000 yards
394. A projectile leaves a velocity of 50m/s at an angle of 30deg with the horizontal. Find the maximum height that it could reach.
- A. 31.86m
- B. 31.28m
- C. 30.62m
- D. 30.12m
395. A shot is fired with an angle of 45deg with the horizontal with a velocity of 300ft/s. Find the maximum height and range that the projectile can cover, respectively.
- A. 800ft, 1600ft
- B. 923ft, 3500ft
- C. 700ft, 2800ft
- D. 1800ft, 3000ft
396. A ball is thrown from a tower 30m high above the ground with a velocity of 300m/s directed at 20deg from the horizontal. How long will the ball hit the ground?
- A. 21.2s
- B. 22.2s
- C. 23.2s
- D. 24.2s
397. In the last two second of NBA finals featuring Chicago Bulls VS Utah Jazz, with the latter ahead by 2 points with the former 94-92 count. Bulls Michael Jordan decides to shoot from a certain point on the rainbow territory which counts 3 point if converted. During the play, if Jordan releases the ball at 7m from the basket and 2.15m above the ground and an inclination of 40 deg with the horizontal and assuming no block was made by the opponents, at what velocity will the ball be given to cast the winning basket? The basket is 10 feet from the ground.
- A. 8.57 m/s
- B. 8.86 m/s
- C. 9.03 m/s
- D. 9.27 m/s
398. A projectile is fired with a muzzle velocity of 300m/s from a gun aimed upward at an angle of 20deg with the horizontal, from the top of a building 30m high above a level ground. With what velocity will it hit the ground in m/s?
- A. 298 m/s
- B. 299 m/s
- C. 300 m/s
- D. 301 m/s
399. A stone is thrown upward at an angle of 30 deg with the horizontal. It lands 60m measured horizontally and 2m below measured vertically from its point of release. Determine the initial velocity of the stone in m/s.
- A. 22.35 m/s
- B. 23.35 m/s
- C. 24.35 m/s
- D. 25.35 m/s
400. A wooden block having a weight of 50 N is placed at a distance of 1.5m from the center of a circular platform rotating at a speed of 2 radians per second. Determine the minimum coefficient of friction of the block so that it will not slide. Radius of the circular platform is 3m.
- A. 0.55
- B. 0.58
- C. 0.61
- D. 0.65
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