FCTC FREE FCTC Test Mechanical Reasoning Principles Questions and Answers 4 — Questions and Answers
Question 1: A fixed pulley changes the direction of force but not its magnitude. A movable pulley system with one movable pulley provides what mechanical advantage?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
A single movable pulley has a mechanical advantage of 2 because two rope segments support the load.
Question 2: A beam is supported at both ends and loaded in the middle. Where does the maximum bending stress occur?
- At the support points
- At the exact center of the beam (Correct answer)
- At the top surface mid-span
- At the neutral axis
Correct answer: At the exact center of the beam
For a simply supported beam with a center load, the maximum bending moment—and thus maximum stress—occurs at the midpoint.
Question 3: If a car engine produces 200 ft-lbs of torque and the transmission multiplies it by a gear ratio of 3:1, what torque reaches the drive shaft?
- 67 ft-lbs
- 200 ft-lbs
- 400 ft-lbs
- 600 ft-lbs (Correct answer)
Correct answer: 600 ft-lbs
Output torque = Input torque × gear ratio = 200 × 3 = 600 ft-lbs.
Question 4: Two objects of equal mass are dropped simultaneously—one in a vacuum and one in air. Which hits the ground first?
- The one in air
- The one in the vacuum (Correct answer)
- They land at the same time
- It depends on their shape
Correct answer: The one in the vacuum
Air resistance slows the object dropped in air; in a vacuum, only gravity acts, so it falls faster.
Question 5: A ramp (inclined plane) is 10 feet long and rises 2 feet. What is the mechanical advantage of this ramp?
- 2
- 5 (Correct answer)
- 8
- 20
Correct answer: 5
MA of an inclined plane = Length ÷ Height = 10 ÷ 2 = 5.
Question 6: A rotating flywheel stores kinetic energy. Doubling the flywheel's rotational speed changes its stored energy by what factor?
- It doubles
- It triples
- It quadruples (Correct answer)
- It remains unchanged
Correct answer: It quadruples
Rotational kinetic energy = ½Iω²; doubling ω quadruples the energy since it is proportional to ω².
Question 7: Which type of joint allows the most freedom of movement in multiple directions, like the human shoulder?
- Hinge joint
- Pivot joint
- Ball-and-socket joint (Correct answer)
- Saddle joint
Correct answer: Ball-and-socket joint
A ball-and-socket joint allows rotation and movement in all directions, providing the greatest range of motion.
FCTC FREE FCTC Test Mechanical Reasoning Principles Questions and Answers 4
A fixed pulley changes the direction of force but not its magnitude.
A movable pulley system with one movable pulley provides what mechanical advantage?