The rotor (flywheel) of a toy gyroscope has mass 0.150 kg. its moment of inertia about its axis is 1.20 × 10−4kg2. the mass of the frame is 2.70 × 10−2kg. the gyroscope is supported on a single pivot (fig. 1) with its center of mass a horizontal 5 distance of 4.00 cm from the pivot. the gyroscope is precessing in a horizontal plane at the rate of one revolution in 2.30 s.
(a) find the upward force exerted by the pivot.
(b) find the angular speed with which the rotor is spinning about its axis, expressed in rev/min.

In a vernier instrument the main scale is in 1/2 mm divisions .vernier is made by redividing 19 such divisions into 20 equal parts. calculate the least count of the instrument.

Samir watches a 100-minute movie on his spaceship. maria's spaceshipe flies in the same direction as samir's spaceship but she observes his move to last 125 minutes and his spaceship to be 40 m long. how long does samir observe his own spaceship to be? according to an observer on earth, planet x is stationary. maria and samir depart earth on their spaceships at the same time, each flying at 0.5c. maria flies toward planet x and samir flies in the opposite direction. according to maria, her voyage to planet x takes 9 years. how many years does marias voyage take according to samir?

The freezing and boiling point of a substance changes as the air pressure around it changes. for example, at a lower air pressure (higher altitude) it is easier for water molecules to escape from liquid into the air. in a high altitude city such as denver, colorado compared to a sea-level city such as houston, texas, water