Derive an expression for the time it takes the car to reach

Assignment Help Mechanical Engineering

Reference no: EM131249234

The Cub Scouts has an annual competition called the Pinewood Derby. Each scout builds a wooden car that will race down an inclined track (inclined at some angle θ) powered only by gravity. The goal is to build a car that will make it down the slope as fast as possible. The total mass of the car (including the wheels) must be ≤ M, and the radius of the wheels of the car must be R, though the wheel weight can be any fraction of the total you like. In this problem you will investigate whether it is better to make the wheels heavy or light (with ballast added to the car body).

Derive an expression for the time it takes the car to reach a certain position x down the incline in terms of R, θ, g, M, and the mass m_w of one of the four wheels. From this expression, make a prediction as to which type of car (one with heavier or lighter wheels) will get to the bottom of the track fastest. Ignore air resistance and assume that each of the four wheels rolls without slipping while going down the track.

Reference no: EM131249234

Questions Cloud

Mintzburg basic parts of the organization : Explain how Mintzburg basic parts of the organization fit together to perform needed functions. If an organization have to give up one of these five parts, such as during to a severe downsizing, which one could it survive the longest without?

Change an organization strategy : Is it more difficult to change an organization's strategy or its culture? Why?

What is marketing myopia : What is Marketing Myopia? Do you think marketing myopia played a role in the failure of BlackBerry? - Use Porter's five forces framework to analyze the attractiveness of razor industry. Do you think it is an attractive industry?

Build the is-lm function : Prepare a two page essay and answer the questions - analyze the behavior of the markets for goods and money for each area.

Derive an expression for the time it takes the car to reach : From this expression, make a prediction as to which type of car (one with heavier or lighter wheels) will get to the bottom of the track fastest. Ignore air resistance and assume that each of the four wheels rolls without slipping while going down..

What relationship of these themes to strategy development : What is the relationship of these themes to strategy development by B2B companies? Be specific to the B2B environment in your analysis, using examples (from the articles, personal experience, class examples, your business reading, etc.) to illust..

Charge of the asian operations for mccain : If you were in charge of the Asian operations for McCain, how would you recommend the company overcome the challenges in the Chinese market?

Critique of the employee retention committee meeting : Perform a detailed critique of the Employee Retention Committee meeting. List the occurrences or omissions that you believe indicate faulty committee practice, and state why you believe so and what should have been done differently

Conduct hand-washing audits of the nursing units : After working in a hospital for six months, you have been selected to head the team to conduct hand-washing audits of the nursing units. Whom do you want on your team, and why?

User Account

All Pages