SIFT Mechanical Comprehension Questions and Answers

Question 1

In the pulley system shown, a 100 lb weight is being lifted. Assuming the system is frictionless, what is the minimum force (F) required to lift the weight?

Accepted Answer

25 lbs

Answer

To determine the required force, calculate the ideal mechanical advantage (IMA) by counting the number of rope segments directly supporting the load. In this system, there are four ropes supporting the movable pulleys and thus the weight. Therefore, the IMA is 4. The required force is the total weight divided by the IMA (100 lbs / 4 = 25 lbs).

Question 2

A smaller gear with 15 teeth is driving a larger gear with 45 teeth. If the smaller gear completes 3 full rotations, how many rotations will the larger gear complete?

Accepted Answer

1 rotation

Answer

The relationship between two meshed gears is determined by their gear ratio, which is the ratio of the number of teeth on each gear. The gear ratio here is 45:15, which simplifies to 3:1. This means for every 3 rotations of the smaller (drive) gear, the larger (driven) gear will complete 1 rotation.

Question 3

Which of the following scenarios describes a second-class lever?

Accepted Answer

A person using a wheelbarrow to move soil.

Answer

A second-class lever is a simple machine where the load (resistance) is located between the fulcrum (pivot point) and the effort (force). In a wheelbarrow, the wheel acts as the fulcrum, the soil in the basin is the load, and the person lifting the handles provides the effort.

Question 4

According to Bernoulli's principle, if the speed of a fluid moving through a pipe increases, what happens to the pressure within the fluid?

Accepted Answer

The pressure decreases.

Answer

Bernoulli's principle states that for an inviscid flow, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. In a horizontal pipe, potential energy is constant, so as speed increases, pressure must decrease.

Question 5

A hydraulic lift uses two pistons. The input piston has an area of 2 square inches, and the output piston has an area of 20 square inches. If a force of 50 lbs is applied to the input piston, what is the maximum weight the output piston can lift?

Accepted Answer

500 lbs

Answer

This problem is an application of Pascal's principle, which is the basis for hydraulics. The pressure (Force/Area) is transmitted equally throughout the fluid. Therefore, F1/A1 = F2/A2. Plugging in the values: 50 lbs / 2 in² = F2 / 20 in². Solving for F2 (the output force) gives F2 = (50 * 20) / 2 = 500 lbs. The mechanical advantage is the ratio of the areas (20/2 = 10), so the output force is 10 times the input force.

SIFT Exam Practice Test

SIFT Exam Practice Test

SIFT Mechanical Comprehension Questions and Answers