OAR FREE OAR Mechanical Reasoning Question and Answers 3

Question 1

An inclined plane is 10 ft long and 3 ft high. What is its ideal mechanical advantage?

Accepted Answer

3.33

Answer

IMA of an inclined plane equals length divided by height: 10/3 ≈ 3.33.

Question 2

A wheel has a radius of 12 inches and its axle has a radius of 3 inches. What force must be applied to the wheel to lift a 200-lb load on the axle?

Accepted Answer

50 lb

Answer

Mechanical advantage = wheel radius / axle radius = 12/3 = 4, so effort = 200/4 = 50 lb.

Question 3

A 50-kg object moves at 10 m/s. What is its kinetic energy?

Accepted Answer

2500 J

Answer

KE = ½mv² = ½ × 50 × 10² = 2500 J.

Question 4

Two springs with constants of 40 lb/in and 60 lb/in are connected in parallel. What is the combined spring constant?

Accepted Answer

100 lb/in

Answer

In parallel, spring constants add directly: 40 + 60 = 100 lb/in.

Question 5

A cam rotates and pushes a flat follower upward 0.5 inches during 180 degrees of rotation. What is the total follower displacement for one full cam revolution?

Accepted Answer

0.5 in

Answer

The follower rises 0.5 in during the first half-turn and returns to its starting position during the second half, so total displacement is 0.5 in at peak.

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OAR FREE OAR Mechanical Reasoning Question and Answers 3