A rocket is attached to the rim of a 1-m-diameter wheel that can pivot freely around its axel. The wheel weighs 98N, and the rocket weighs half that. When the rocket fires with a constant thrust, it is noticed it takes 5 seconds for the wheel to rotate 6 times.
a) If almost all the mass of the wheel is at the rim, why can the moment of inertia for the wheel be approximated with the function mr^2
b) What is the thrust from the rocket?
I have some answers written down for both, but I am unsure if they are correct:
a) More mass distributed away from the axel point would contribute to larger inertia, therefore mr^2
b) I got the force of thrust equal to 15.08 N (It sounds wrong)
A rocket is attached to the rim of a 1-m-diameter wheel that can pivot freely around...
Up A #4. [Gyroscope Wheel] A rubber wheel on a steel rim spins freely on a horizontal axle that is suspended by a fixed pivot at point P. When the wheel spins at a rate of 4.00 rev / s, it precesses smoothly about point Pin a horizontal plane with a period of 3.50 s. The wheel's outer radius is 15.0 cm, and it's total mass is measured to be 1.12 kg, 60% of this being the spinning wheel and...
A small rocket (because I like rockets) of mass 1 kg and thrust capability of 250 N is slapped onto the edge of a large wheel. The wheel has a mass of 20 kg and a radius of 0.75 m. You light the fuse, stand WAY back, and watch as this Chinese-style firework wheel starts to spin as the rocket fires. Calculate the time it would take the wheel to spin up to 10 revolutions per second. HINT: This problem...
A uniform wooden meter stick has a mass of m = 799 g. A clamp can be attached to the measuring stick at any point Palong the stick so that the stuck can rotate freely about point P, which is at a distance d from the zero-end of the stick as shown. Part (a) Calculate the moment of inertia in kg-m of the meter stick if the pivot point P is at the 50-cm mark. Part (b) Calculate the moment of inertia...
Pivoted Rod with Unequal Masses (Figure 1) A thin rod of mass mr and length 2L is allowed to pivot freely about its center, as shown in the diagram. A small sphere of mass m1 is attached to the left end of the rod, and a small sphere of mass m2 is attached to the right end. The spheres are small enough that they can be considered point particles. The gravitational force acts downward, with the magnitude of the gravitational acceleration...
(Figure 1)The figure shows a simple model of a seesaw These consist of a plank/rod of mass mr and length 2x allowed to pivot freely about its center (or central axis), as shown in the diagram. A small sphere of mass m1 is attached to the left end of the rod, and a small sphere of mass m2 is attached to the right end. The spheres are small enough that they can be considered point particles. The gravitational force acts...