Mechanical Aptitude Test Mechanical Aptitude MCQ 1

Question 1

A single fixed pulley changes the direction of a force but provides no mechanical advantage. What is the ideal mechanical advantage of a single movable pulley?

Accepted Answer

2

Answer

A single movable pulley has an ideal mechanical advantage of 2 because two rope segments support the load, meaning you only need to apply half the load's weight as input force.

Question 2

A wrench applies a force of 50 N at a distance of 0.4 m from a bolt. What is the torque applied to the bolt?

Accepted Answer

20 N·m

Answer

Torque equals force multiplied by the perpendicular distance from the pivot point: T = F × d = 50 N × 0.4 m = 20 N·m.

Question 3

Water flows through a pipe that narrows from a diameter of 4 cm to a diameter of 2 cm. Compared to the wider section, the water speed in the narrower section is:

Accepted Answer

Four times as fast

Answer

By the continuity equation, flow rate (area × velocity) is constant. The diameter is halved, so the cross-sectional area is reduced by a factor of 4 (area ∝ diameter²), meaning velocity must increase by a factor of 4.

Question 4

A spring with a spring constant of 200 N/m is compressed by 0.05 m. How much elastic potential energy is stored in the spring?

Accepted Answer

0.25 J

Answer

Elastic potential energy is calculated using PE = ½kx², where k = 200 N/m and x = 0.05 m: PE = ½ × 200 × (0.05)² = 100 × 0.0025 = 0.25 J.

Question 5

Two pulleys are connected by a belt. The driving pulley has a radius of 10 cm and rotates at 300 RPM. If the driven pulley has a radius of 5 cm, what is its rotational speed?

Accepted Answer

600 RPM

Answer

For belt-connected pulleys, the speed ratio is inversely proportional to the radius ratio. The driven pulley is half the size of the driving pulley, so it spins twice as fast: 300 × (10/5) = 600 RPM.

Mechanical Aptitude Test Practice Test

Mechanical Aptitude Test Practice Test

Mechanical Aptitude Test Mechanical Aptitude MCQ 1