A 40 kg boy is pushing a stationary truck with a time-varying force F(t). The static coefficient of friction between the truck's wheels and the ground is 0.3. At all times, F(t) is... A 40 kg boy is pushing a stationary truck with a time-varying force F(t). The static coefficient of friction between the truck's wheels and the ground is 0.3. At all times, F(t) is less than the frictional resistance to motion. a. Estimate the inertia content of the truck. b. Determine whether the truck's response is dynamic or static. c. Is it justifiable to conduct a dynamic analysis for this scenario? State the reason.
Understand the Problem
The question is asking for three specific analyses related to a scenario where a boy pushes a stationary truck. Firstly, it requests an estimation of the truck's inertia content. Secondly, it seeks to determine the nature of the truck's response (dynamic or static). Lastly, it inquires if conducting a dynamic analysis is justified in this situation, requiring a reasoned explanation.
Answer
a. 5000 tons inertia; b. Static response; c. No dynamic analysis, as F(t) < friction.
a. The truck's inertia content is 5000 tons. b. The response is static because F(t) doesn't exceed friction. c. Dynamic analysis is not justified as there is no movement.
Answer for screen readers
a. The truck's inertia content is 5000 tons. b. The response is static because F(t) doesn't exceed friction. c. Dynamic analysis is not justified as there is no movement.
More Information
Since the force applied by the boy is always less than the frictional resistance, the truck remains stationary. The inertia of the truck, simply its mass, is significant but irrelevant until motion is initiated by overcoming friction.
Tips
A common mistake is assuming any external force implies the need for dynamic analysis without considering whether it overcomes friction.
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