Test Applying Mechanical Reasoning Questions and Answers Flashcards
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Read the first 7 Test Applying Mechanical Reasoning Questions and Answers flashcards as text
A compound pulley system uses 4 rope segments supporting a load. If the load weighs 200 lbs, how much force is needed to lift it (ignoring friction)?
Answer: 50 lbs
In a compound pulley with 4 supporting rope segments, the required force equals the load divided by the number of segments: 200 ÷ 4 = 50 lbs.
Two gears are meshed together. Gear A has 12 teeth and Gear B has 36 teeth. If Gear A rotates at 90 RPM, at what speed does Gear B rotate?
Answer: 30 RPM
Gear speed is inversely proportional to tooth count; Gear B rotates at 90 × (12/36) = 30 RPM.
A worker uses a ramp 10 feet long to push a 300 lb crate up to a platform 2 feet high. Approximately how much force is required (ignoring friction)?
Answer: 60 lbs
The mechanical advantage of a ramp equals length divided by height (10/2 = 5), so force needed = 300 ÷ 5 = 60 lbs.
Which type of lever has the fulcrum located between the effort and the load?
Answer: First-class lever
A first-class lever has the fulcrum between the effort and load, such as a seesaw or crowbar.
A spring stretches 3 inches when a 6 lb weight is hung from it. How far will it stretch with a 10 lb weight?
Answer: 5 inches
By Hooke's Law, stretch is proportional to force; 3 inches × (10/6) = 5 inches.
A hydraulic press has an input piston of 2 sq in and an output piston of 20 sq in. If 50 lbs of force is applied to the input, what force is produced at the output?
Answer: 500 lbs
Pascal's principle: output force = input force × (output area / input area) = 50 × (20/2) = 500 lbs.
A wrench handle is 12 inches long. A second wrench on the same bolt has a handle of 18 inches. Compared to the shorter wrench, the longer wrench produces how much more torque with the same force?
Answer: 50% more
Torque = force × distance; 18/12 = 1.5, meaning the longer wrench produces 50% more torque.