FREE FCTC Test Mechanical Reasoning Principles Questions and Answers Flashcards

A fixed pulley changes the direction of force but not its magnitude. A movable pulley system with one movable pulley provides what mechanical advantage?

Answer: 2

A single movable pulley has a mechanical advantage of 2 because two rope segments support the load.

A beam is supported at both ends and loaded in the middle. Where does the maximum bending stress occur?

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.

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?

Answer: 600 ft-lbs

Output torque = Input torque × gear ratio = 200 × 3 = 600 ft-lbs.

Two objects of equal mass are dropped simultaneously—one in a vacuum and one in air. Which hits the ground first?

Answer: The one in the vacuum

Air resistance slows the object dropped in air; in a vacuum, only gravity acts, so it falls faster.

A ramp (inclined plane) is 10 feet long and rises 2 feet. What is the mechanical advantage of this ramp?

Answer: 5

MA of an inclined plane = Length ÷ Height = 10 ÷ 2 = 5.

A rotating flywheel stores kinetic energy. Doubling the flywheel's rotational speed changes its stored energy by what factor?

Answer: It quadruples

Rotational kinetic energy = ½Iω²; doubling ω quadruples the energy since it is proportional to ω².

Which type of joint allows the most freedom of movement in multiple directions, like the human shoulder?

Answer: Ball-and-socket joint

A ball-and-socket joint allows rotation and movement in all directions, providing the greatest range of motion.