a. A particle of mass m accelerates from rest down a rough inclined plane, inclined at an angle 0 with respect to the horizontal and whose coefficient of friction is u. Apply Newton's laws in Cartesian coordinates to determine how far the particle will travel in time t. b. A particle of mass m is released on the side of a semicircular track that points downward. The radius of the semicircular track is R. Using Newton's second law in polar coordinates, determine how long it will take the particle to come back to the point of release

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a. A particle of mass m accelerates from rest down a rough
inclined plane, inclined at an angle 0 with respect to the
horizontal and whose coefficient of friction is u. Apply
Newton's laws in Cartesian coordinates to determine how
far the particle will travel in time t.
b. A particle of mass m is released on the side of a
semicircular track that points downward. The radius of the
semicircular track is R. Using Newton's second law in polar
coordinates, determine how long it will take the particle to
come back to the point of release
Transcribed Image Text:a. A particle of mass m accelerates from rest down a rough inclined plane, inclined at an angle 0 with respect to the horizontal and whose coefficient of friction is u. Apply Newton's laws in Cartesian coordinates to determine how far the particle will travel in time t. b. A particle of mass m is released on the side of a semicircular track that points downward. The radius of the semicircular track is R. Using Newton's second law in polar coordinates, determine how long it will take the particle to come back to the point of release
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