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Q. The rotor of a toy gyroscope consists of an annular cylinder attached to cylindrical shafts by spokes. The rotor is spun by pulling on a string wrapped around shaft.
1) What angular velocity is imparted to the rotor by pulling on the string for 2 seconds with a force of 100 Newton? The mass of the rotor is 0.2 kg, the radii of the cylinder are 0.020 meter and 0.25 meter, and the radius of the shaft is 0.002 meter. The angular momentum of the shaft and spokes is negligible.
2) What is the rotational speed in revolution per minute? Describe why your answers are reasonable.
To get back to the shuttle, the astronaut unstraps a 10-kg tool kit and throws it away with a speed of 8 m/s. In the script, the astronaut, who has a mass of 80 kg without the toolkit, survives, but is this accurate.
Water flows at a speed of 1.7 m/s throughout a horizontal pipe having a circular cross section 5 cm in diameter. The pipe widens to a diameter of 14 cm. Treat the water as an idea fluid.
A ranger in a national park is driving at 52 km/h when a deer jumps onto the road 86 m ahead of the vehicle. After a reaction time of t s, the ranger applies the brakes to produce an acceleration of -2.9 m/s2.
A parallel-plate capacitor has an area of 5.15 cm2, and the plates are separated by 1.05 mm with air between them. It stores a charge of 337pC. What is the potential difference across plates of the capacitor.
suppose that the engineer is at x = 0 when, at t = 0, he first spots the locomotive. Sketch x(t) curves for the locomotive and high-speed train for the cases in which a collision is just avoided and is not quite avoided.
A 56.0 kg ice skater spins about a vertical axis by her body with her arms horizontally outstretched, making 1.50 turns each second. The distance from one hand to the other is 1.5 m . Biometric measurements indicate that each hand typically makes ..
Find out how fast a GPS satellite is moving relative to someone on the ground and from that how much slower time runs where it is in orbit relative to someone on the ground.
A rectangular coil in the plane of the page has dimensions a = 46.00 m and b = 80.00 m. A long wire that carries a current I = 4.50 A is placed directly above the coil. For what value of x is magnitude of flux through the coil a minimum.
Assume that the temperature of the bullet doesn't change appreciably, how much ice is melted as a result of the collision.
The energy of a simple harmonic oscillator could be doubled by increasing the amplitude by a factor of approximately
A student removes a 10.50 kg stereo from a shelf that is 1.802 m high. The amplifier is lowered at a constant speed to a height of 0.75 m. What is the work done by a) person and b) gravitational force that acts on the amplifier.
At a grinding wheel has an angular velocity of 27. It has a constant angular acceleration of 26.0 until a circuit breaker trips at time = 1.60 . From then on, it turns through an angle 433 as it coasts to a stop at constant angular acceleration.
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