What curve is generated by the locus of a point on a taut thread as it is unwound from a cylinder___________________?
Show answer Hide answer
Answer: C. involute
Explanation
The locus of a point on a taut thread unwound from a cylinder forms an involute curve. As the thread unwinds, its tensioned end traces this specific mathematical trajectory. Involutes provide constant pressure angles essential for smooth mechanical power transmission. Geometry defines an involute as the curve traced by a point on a taut string. Gear teeth are commonly cut with involute profiles to ensure smooth meshing action. Even if center distances vary slightly, involute gears maintain constant velocity ratios.
Clock gears and industrial transmission systems rely on involute tooth profiles for efficiency. Manufacturing gear cutters use involute geometry to ensure interchangeable standardized gearing. Understanding curve generation helps engineers design quiet and durable mechanical gearboxes. Option A describes a linear path rather than the curved unwinding trajectory. Option B describes a circular locus which does not involve unwinding string paths. Option D describes cycloidal curves formed by rolling circles instead of unwinding threads.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
Related questions
Q1. What does Klein’s construction method analyze for reciprocating engine mechanisms _______________?
Show answer Hide answer
Answer: C. utilises a quadrilateral similar to the diagram of mechanism for reciprocating engine
Klein construction employs a geometric quadrilateral whose sides are scaled proportionally to the reciprocating engine linkage. This constructed figure mirrors the exact geometric layout of the crank, connecting rod, and...
Q2. What physical property is measured using the bifilar suspension method__________________?
Show answer Hide answer
Answer: C. moment of inertia
Bifilar suspension is a classic experimental method used to determine the moment of inertia of irregular bodies. This technique involves suspending a body by two parallel filaments or wires and measuring its oscillation...
Q3. What is an engine indicator utilizing a Watt mechanism called________________?
Show answer Hide answer
Answer: B. Richard indicator
The Richard indicator specifically incorporates a Watt linkage to magnify piston motion accurately. Historical engineering instruments utilized this mechanical linkage configuration to record engine pressures. Attributed...
Q4. What kind of motion forces are experienced by the center of gravity of a moving link_________________?
Show answer Hide answer
Answer: D. both angular and linear accelerations
General plane motion combines translation and rotation, subjecting moving bodies to both linear and angular accelerations. The center of gravity experiences linear acceleration due to translational movement along its cur...
Q5. How many instantaneous centers exist in a standard crank-driven slider-crank mechanism_______________?
Show answer Hide answer
Answer: B. 2
A standard slider-crank mechanism has a fixed number of links resulting in six instantaneous centers, not two.
Q6. What is the main operational drawback of a sliding pair mechanism_________________?
Show answer Hide answer
Answer: D. A. and B. above
Sliding pair mechanisms suffer from high sliding friction, leading to rapid surface wear and increased bulkiness. The large contact area between sliding members requires robust lubrication and sturdy housings to handle l...