Consider a lawnmower of mass m which can slide across a horizontal surface with

Question

Consider a lawnmower of mass m which can slide across a horizontal surface with a coefficient of friction . In this problem the lawnmower is pushed using a massless handle, which makes an angle with the horizontal. Assume that Fh, the force exerted by the handle, is parallel to the handle.

Take the positive x direction to be to the right and the postive y direction to be upward. Use g for the magnitude of the acceleration due to gravity.

Part A

Find the magnitude, Fh, of the force required to slide the lawnmower over the ground at constant speed by pushing the handle.

Express the required force in terms of given quantities.

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Part B

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Consider a lawnmower of mass m which can slide across a horizontal surface with a coefficient of friction . In this problem the lawnmower is pushed using a massless handle, which makes an angle with the horizontal. Assume that Fh, the force exerted by the handle, is parallel to the handle.

Take the positive x direction to be to the right and the postive y direction to be upward. Use g for the magnitude of the acceleration due to gravity.

Part A

Find the magnitude, Fh, of the force required to slide the lawnmower over the ground at constant speed by pushing the handle.

Express the required force in terms of given quantities.

SubmitHintsMy AnswersGive UpReview Part

Incorrect; Try Again; 5 attempts remaining

Part B

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Figure 1 of 1

Explanation / Answer

Here, Net Force in horizontal direction

=> - Fh*cos + N = 0

Net Force in vertical direction

=> mg + Fh*sin = N

=>   Fh*cos = * (mg + Fh*sin)

=>    Fh(cos - sin)   = * mg

=> Fh =   * mg/(cos - sin)

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