A box with mass m is on a frictionless inclined ramp, as shown. The ramp has an angle of θ with respect to the horizontal. The ramp is firmly attached to the inside of a car. The car is traveling to the right, and is slowing down. The car has a constant acceleration with magnitude a. You observe that the box doesn’t slide up or down the ramp. What is the angle of the ramp? Write your answer in variables, using only m, g, and a. This problem should be solved using the “recipe” taught in class.FocusDraw a free body diagramIdentify the direction of the accelerationWrite Newton's 2nd law (F=ma)Solve for unknowns Suppose that the driver now presses harder on the brakes. Would the box slide up the ramp, or slide down the ramp? Or would it not slide at all? No calculation required, but very briefly (one or two sentences) justify your answer. Draw a simple diagram if it helps! m

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A box with mass m is on a frictionless inclined ramp, as shown. The ramp has an angle of θ with respect to the horizontal.

The ramp is firmly attached to the inside of a car. The car is traveling to the right, and is slowing down. The car has a constant acceleration with magnitude a.

You observe that the box doesn’t slide up or down the ramp.

1. What is the angle of the ramp? Write your answer in variables, using only m, g, and a. This problem should be solved using the “recipe” taught in class.
  Focus
  1. Draw a free body diagram
  2. Identify the direction of the acceleration
  3. Write Newton's 2nd law (F=ma)
  4. Solve for unknowns
2. Suppose that the driver now presses harder on the brakes. Would the box slide up the ramp, or slide down the ramp? Or would it not slide at all? No calculation required, but very briefly (one or two sentences) justify your answer. Draw a simple diagram if it helps!

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