FCTC FCTC Mechanical Reasoning Principles Questions and Answers 3

Question 1

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?

Accepted Answer

4.5 inches

Answer

By Hooke's Law, stretch is proportional to force: (9/6) × 3 = 4.5 inches.

Question 2

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?

Accepted Answer

90 RPM

Answer

Belt speed is constant, so speed ratio is inverse of radius ratio: 30 × (6/2) = 90 RPM.

Question 3

A wedge is driven under a load. As the wedge angle decreases (becomes thinner), what happens to the mechanical advantage?

Accepted Answer

It increases

Answer

A thinner wedge requires less force to drive but travels farther, increasing mechanical advantage.

Question 4

Which factor does NOT affect the amount of work done on an object?

Accepted Answer

The color of the object

Answer

Work equals force times distance in the direction of motion; the object's color is irrelevant.

Question 5

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?

Accepted Answer

100 lb

Answer

Pascal's principle: pressure is equal throughout, so force scales with area: 10 × (20/2) = 100 lb.

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FCTC FCTC Mechanical Reasoning Principles Questions and Answers 3