Solving a Toy Gyroscope Physics Problem: Mass, Moment of Inertia, and Precession

  • Thread starter Thread starter gills
  • Start date Start date
  • Tags Tags
    Gyroscope Physics
AI Thread Summary
The discussion revolves around solving a physics problem related to a toy gyroscope, focusing on calculating the upward force exerted by the pivot and the angular speed of the rotor. The total mass of the gyroscope and frame is calculated to be 0.165 kilograms, resulting in an upward force of 1.617 Newtons. For part (b), the user is seeking guidance on determining the angular speed in revolutions per minute. References to HyperPhysics are provided for additional support in understanding the concepts. The conversation highlights a collaborative effort to clarify gyroscopic principles and calculations.
gills
Messages
115
Reaction score
0

Homework Statement



The rotor (flywheel) of a toy gyroscope has mass 0.140 kilograms. Its moment of inertia about its axis is 1.20 x10^-4 kilogram meters squared. The mass of the frame is 0.0250 kilograms. The gyroscope is supported on a single pivot with its center of mass a horizontal distance 4.00 centimeters from the pivot. The gyroscope is precessing in a horizontal plane at the rate of one revolution in 2.20 seconds.

(a) Find the upward force \vec{n} exerted by the pivot.

(b)Find the angular speed w at which the rotor is spinning about its axis, expressed in revolutions per minute.

Homework Equations



yf_Figure_10_49.jpg


\taunet = I*\alpha

F = ma

The Attempt at a Solution



I'm new to gyroscopes, so if anyone can point me in the right direction and help me step by step, that would be great!
 
Physics news on Phys.org
Bueler? ...Bueler? ...Bueler? ...Bueler?
 
part (a) =

(m_gyro + m_frame)g = 1.617N

part(b)---working on it
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

Gyroscope Angular Speed Calculation
Replies
1
Views
5K
Toy Gyroscope Problem: Finding Angular Speed and Upward Force | Homework Help
Replies
4
Views
28K
I How to quantify gyroscopic precession torque?
Replies
34
Views
3K
Does the Moment of Inertia Change When a Gyroscope is Lifted?
Replies
2
Views
5K
How Does the Angle of Tilt Affect Gyroscope Precession Rate?
Replies
5
Views
3K
B Gyroscopic precession force diagram
Replies
7
Views
2K
Rod w/ Pivot and Attached Mass Pendulum
Replies
4
Views
2K
Moment of inertia for this assembly
Replies
2
Views
7K
How Does Frictionless Surface Affect Gyroscope Precession?
Replies
3
Views
4K
Moment of Inertia of a Rod with Two Uniform Masses Attached
Replies
2
Views
25K

Hot Threads

Recent Insights

Back
Top