Reference no: EM134738

Question1

A square plate of side a and mass m is thrown into the air so that it rotates freely under zero torque. The rotational period is 1 sec. If the axis of rotation makes an angle of 45 with the symmetry axis of the plate, find out the precession period of the axis of rotation about symmetry axis. Also discover the angle between w and l

Question2

The pilot of an aircraft wishes to fly due west in a 50.0 km/h wind blowing toward the south.

The speed of the aircraft in the absence of a wind is 205 km/h.

In what direction must the aircraft head?

What have to its speed relative to the ground been?

Question3

For a damped oscillator with a mass of 280 g, a spring constant 97 N/m and a damping coefficient of 68 g/s, what is the ratio of an amplitude of the damped oscillations to an initial amplitude at the end of 26 cycles?