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The period of oscillation of a nonlinear oscillator depends on
the mass m, with dimensions of M; a restoring force constant k
with dimensions of M L-2 T-2and the amplitude A, with dimension of L. Then the period of
oscillation should be proportional to

A block rests on an inclined plane with coefficient of friction µ (which is dimensionless).
Let θ be the largest angle of inclination for which the block doesn’t slide down. Which
of the following is true?

The drag force F on a sphere moving slowly through a viscous fluid depends on the
viscosity of the fluid η (with units kg/(m s)), the radius R, and the speed v. Which of the
following quantities is F?