Equilibrium II A massless wheel of radius R is mounted on a frictionless,horizontal axle. A point mass M is glued to the edge of the wheel, and a mass m hangsfrom a string wrapped around the perimeter of the wheel.(a) Write down the total PE of the two masses as a function of the angle O.(b) Use this to find the values of m and M for which there are any positions of equilib-rium. Describe the equilibrium positions and their stability.(c) Find the critical value of m/Mother side of which it does not (if released from rest at o= 0).on one side of which the system oscillates and on theRМm

Given:Mass of wheel = 0 kgRadius of the wheel = R

Answered: Equilibrium II A massless wheel of…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.10P

See similar textbooks

Similar questions

Help me please is for today (a) draw the free-body diagrams for the entire assembly (or structure) and each of its parts. Neglect friction and the weights of the members unless specified otherwise. Be sure to indicate all relevant dimensions. For each problem, (b) determine the total number of unknown forces and the total number of independent equilibrium equations.
A solid, uniform disk of mass M and radius a may be rotated about any axis parallel to the disk axis, at variable distances from the center of the disk. (Figure 1) If you use this disk as a pendulum bob, what is T(d), the period of the pendulum, if the axis is a distance d from the center of mass of the disk? Express the period of the pendulum in terms of given variables. What is Tmin, the minimum period of the pendulum? Your answer for the minimum period should include given variables.
Sphere A with mass m and radius r rolls without slipping with speed v1 on a horizontal surface when it hits an identical sphere B that is at rest. If the coefficient of friction between the spheres and the surface is μ, the friction between spheres is negligible, and the impact is perfectly elastic e = 1, determine: the velocity of the centre of mass, and the angular velocity, of each sphere immediately after impact the acceleration of the centre of mass, and the angular acceleration, of each sphere immediately after impact the angular velocity of each sphere after it has started rolling uniformly
A bar of length 1 meters and mass 5 kg is pulled to the right by an angle 45.0 degrees, and is then released from rest. A) At the bottom of the swing, what is the magnitude of the angular velocity? Express your answer in terms of radians per second B) At the bottom of the swing what is the speed of the center of mass? Express your answer in terms of meters per second
A particle of mass m is moving with constant velocity v on a circle of radius r. Let the particle startits motion from any point A on the circle at t = 0.a) What is the angular momentum of the particle about point A at any time t?b) What is the force acting on the particle at any time t and torque with respect to point A?c) Show that the angular momentum theorem τ = ?L/dT is also valid here. L is the angularmomentum and is the torque expression.
classical mechanics : a block with 3 kg attached on spring , the spring elongate by 1.5 cm , the the block removed and another block 1kg attahced. calculate : a- the elongation in this state b- the work done to the spring to make an eleongation 4 cm from its equilibruim position
Determine the resultant of the coplanar concurrent force system shown. Compute the magnitude, sense, and angle of inclination with the X axis.
Questions 15-17 M =3m mass coil is wrapped with a weightless rope and on a horizontal rough surface he's in a state of stagnation. To the axis passing through its own center of mass, the outer radius of the R coil according to the moment of inertia is given as Im M R2, the radius of the hugging rope layer is given to R/2 is equal to the other end of the rope, vertically fixed to a block with a mass of m, as in the form. System is released from stagnant condition. 15) Find the acceleration of the coil.
Can you please answer quicklyHow many free variables should be used to determine the orientation (orientation) of a 2 dimensional solid body with a fixed center of gravity in 2 dimensional space?2143
A 2kg puck slides with uniform circular motion on a smooth surface. When the radius is 0.80m, the tension in the rope connecting the puck to the center of rotation is 15N. Find and do the following: a.) Free body diagram of the puck (looking at it from the side) when the center of rotation is to the left of it. b.) The angular velocity of the system c.) The acceleration of the system d.) The period of the system. e.) If the radius is increased to 1.60m but the angular velocity remains constant, determine the tension in the rope f.) If the radius is 0.80m, but the angular velocity is doubled, determine the tension in the rope.
When doing a 3D problem analysis of a rigid body, you have _____ scalar equations of equilibrium. Group of answer choices 2 3 4 6
A small blob of putty of mass m falls from the ceiling and lands on the outer rim of a turntable of radius R and moment of inertia I0 that is rotating freely with angular speed ω0 about its vertical fixed-symmetry axis. (Use any variable or symbol stated above as necessary.) (a) What is the postcollision angular speed of the turntable-putty system?

SEE MORE QUESTIONS

Recommended textbooks for you

Classical Dynamics of Particles and Systems

Physics

ISBN:

9780534408961

Author:

Stephen T. Thornton, Jerry B. Marion

Publisher:

Cengage Learning

Classical Dynamics of Particles and Systems

Physics

ISBN:

9780534408961

Author:

Stephen T. Thornton, Jerry B. Marion

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS