a) Consider an object of mass m=0.527kg rotates on circular path of radius r=1.82 m. Object...

a) Consider an object of mass m=0.527kg rotates on circular path of radius r=1.82 m. Object starts at rest and slowly increase its angular velocity at constant angular acceleration of 0.128 rad/s2.

I. Find the angular velocity of the object after 35 seconds?

II. Find the magnitude and direction of resultant linear acceleration after 35 seconds?

III. Find the net force acting on the object after 35 seconds?

b) Consider the same above object of mass m=0.527kg rotates around its center of mass with non- uniform, time dependent angular acceleration as follows: ?(?) = [2.67 ?^3 + 5.18 ?^2 − 4.31 ?] rad/s^2

I. Find the equation for angular velocity of the object (? = 0, ? = 0)?

II. Find the equation for angular displacement of the object (? = 0, ? = 0)?

Solutions

Expert Solution

genius_generous answered 2 years ago

Next > < Previous

Related Solutions

a 4.00 kg mass is moving in a circular path of radius 3.20 m with a...

a 4.00 kg mass is moving in a circular path of radius 3.20 m with a constant linear speed of 6.29 m/s. The radial force on the mass is

A particle of mass m orbits around the origin (0,0) in a circular path of radius...

A particle of mass m orbits around the origin (0,0) in a circular path of radius r. (a) Write the classical Hamiltonian (energy) of this system in terms of angular momentum of the particle. (b) Write the Schrodinger equation for this system. (c) Find the energy eigenvalues and their corresponding (normalized) wavefunctions.

Find the moment of inertia of a circular disk of radius R and mass M that...

Find the moment of inertia of a circular disk of radius R and mass M that rotates on an axis passing through its center. [Answer: ½ MR2] Step 1: Pictorial representation: Sketch a neat picture to represent the situation. Step 2: Physical representation: 1) Cut the disk into many small rings as it has the circular symmetry. 2) Set up your coordinate system and choose its origin at the pivot point (or the axle location) for convenience. Then choose a...

a uniform spherical shell of mass M and radius R rotates about a vertical axis on...

a uniform spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of the shell, over a pulley of rotational inertia I and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object after it has fallen a distance h from rest?...

A ring (mass 2 M, radius 1 R) rotates in a CCW direction with an initial...

A ring (mass 2 M, radius 1 R) rotates in a CCW direction with an initial angular speed 2 ω. A disk (mass 4 M, radius 2 R) rotates in a CW direction with initial angular speed 4 ω. The ring and disk "collide" and eventually rotate together. Assume that positive angular momentum and angular velocity values correspond to rotation in the CCW direction. What is the initial angular momentum Li of the ring+disk system? Write your answer in terms...

An object of mass m is in a circular orbit another heavier object of mass M....

An object of mass m is in a circular orbit another heavier object of mass M. The radius of the orbit is R. (a) Derive the speed of the orbiting object. (b) Use this speed to derive the period of the circular orbit. (c) Use your answer and the provided value to determine the period of Earth’s orbit around the Sun based on our simplified circular motion model. Compare this to the actual value which you can look up. Use...

A spherical object with a radius r = 3.2×10−6 m and mass m is in equilibrium...

A spherical object with a radius r = 3.2×10−6 m and mass m is in equilibrium at a distance d = 6.0×1012 m from a star due to the cancellation of gravitational and radiation forces. Let Ms = 4.7×1032 kg be the mass of the star, and Ps = 9.9×1029 W be the total average power radiated by it uniformly in all directions. You will also need the gravitational constant G = 6.7×10−11 Nm2/kg2 and the speed of light c...

A space station is approximately a ring of radius,R, and mass m, which rotates about its...

A space station is approximately a ring of radius,R, and mass m, which rotates about its symmetry axis with angular velocity,~ω=ω0ˆe3. A meteor is traveling with momentum,~p, that is parallel to the original ˆe3, and strikes the space station at a point on the rim,transferring the entire momentum to the space station (an inelastic collision where the meteor sticks to the space station). Further, though the meteor has significant momentum,it is of very small mass so that the moment of...

Consider a thin uniform disk of mass M and radius R. A mass m is located...

Consider a thin uniform disk of mass M and radius R. A mass m is located along the axis of the disk at a distance z from the center of the disk. The gravitational force on the mass m (in terms of m, M, R, G, and z) is

1.Consider a satellite of the earth in a circular orbit of radius R. Let M and...

1.Consider a satellite of the earth in a circular orbit of radius R. Let M and m be the mass of the earth and that of the satellite, respectively. Show that the centripetal acceleration of the satellite is aR = -(v^2/R)*(r/r) where v = |v| is the magnitude of the velocity V and r/r is a unit vector in the radial direction. 2.Using Newton's second low of motion and the law of universal gravitation, determine the speed v=|V| and the...

Subjects