FCTC Mechanical Reasoning Principles Questions and Answers Flashcards
6 cards from real FCTC practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 FCTC Mechanical Reasoning Principles Questions and Answers flashcards as text
A spring stretches 3 inches when a 6-lb weight is hung from it. How far will it stretch with a 9-lb weight, assuming elastic behavior?
Answer: 4.5 inches
By Hooke's Law, stretch is proportional to force: (9/6) × 3 = 4.5 inches.
Two pulleys are connected by a belt. Pulley A has a 6-inch radius and Pulley B has a 2-inch radius. If Pulley A turns at 30 RPM, how fast does Pulley B turn?
Answer: 90 RPM
Belt speed is constant, so speed ratio is inverse of radius ratio: 30 × (6/2) = 90 RPM.
A wedge is driven under a load. As the wedge angle decreases (becomes thinner), what happens to the mechanical advantage?
Answer: It increases
A thinner wedge requires less force to drive but travels farther, increasing mechanical advantage.
Which factor does NOT affect the amount of work done on an object?
Answer: The color of the object
Work equals force times distance in the direction of motion; the object's color is irrelevant.
A hydraulic jack has an input piston with area 2 sq in and an output piston with area 20 sq in. If you apply 10 lb of force to the input, what force is produced at the output?
Answer: 100 lb
Pascal's principle: pressure is equal throughout, so force scales with area: 10 × (20/2) = 100 lb.
When two gears of different sizes are meshed, which gear has greater torque?
Answer: The larger gear
The larger gear has more torque because torque is inversely proportional to rotational speed in a gear pair.