A cylinder of mass m and mass moment of inertia JO rolls without slipping on the ground and is constrained by two springs of stiffnesses kl and k2. Find the equation of motion with respect to theta k₁ m, Jo k2 000 000 R Submit the equivalent moment of inertia and the equivalent torsional spring rate.

A cylinder of mass m and mass moment of inertia JO rolls without slipping on the ground and is constrained by two springs of stiffnesses kl and k2. Find the equation of motion with respect to theta k₁ m, Jo k2 000 000 R Submit the equivalent moment of inertia and the equivalent torsional spring rate.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter5: Three-dimensional Equilibrium

Section: Chapter Questions

Problem 5.15P: In Sample Problem 5.5, determine Oy with one scalar equilibrium equation.

See similar textbooks

Similar questions

A flywheel is fitted to a multi cylinder engine, which runs at a mean speed of 360 r.p.m. If the speed varies from 6 % above the mean to 2 % below it and the fluctuation energy is 1200 kN-cm, If the radius of gyration is 20 cm, find (i) mass moment of inertia of the wheel and (ii) mass of flywheel. The mass moment of Inertia in Kgm2 is Mass of the flywheel in kg is
A flywheel of mass 0.9 ton is fitted to a multi cylinder engine, which runs at a mean speed of 380 r.p.m. If the speed varies from 9 % above the mean to 6 % below it and the fluctuation energy is 1100 kN-cm, find (i) mass moment of inertia of the wheel and (ii) radius of Gyration.
A weight of 500 kg is being lifted up at a uniform speed of 1.5 m/s by a winch driven by a motor running at a speed of 1000 rpm. The moments of inertia of the motor and winch are 0.3 and 0.3 kg-m respectively. In the absence of the weight, the motor develops a torque of 100 Nm at a speed of 1000 r/min. Calculate the motor torque and the equivalent moment of inertia referred to the motor shaft
A turntable is a uniform disc of mass 2 kg and radius 1.3 x 10-1 m. The turntable is spinning at a constant rate of = 0.5 . The motor is turned off and the turntable slows to a stop in 8.0 s with constant angular deceleration. Find the (a) moment of inertia of the turntable; (b) initial rotational kinetic energy; (c) angular deceleration of the turntable while it is slowing down; (d) total angle in radians that the turntable spins while slowing down; and (e) magnitude of the frictional torque.
An engine flywheel has a mass of 6.5 tones and the radius of gyration is 2 m. If the maximum and minimum speeds are 120 r. p. m. and 118 r. p. m. respectively, find maximum fluctuation of energy.
A steel shaft of 0.05 m diameter and 2 m length is fixed at one end and carries at the other end a steel disc of 1 m diameter and 0.1 m thickness. Find a) the mass of the disc and its moment of inertia about the axis of the shaft, b) the stiffness of the steel shaft and c) the system’s natural frequency of torsional vibration.
Find the radius of gyration (KG) of a compound pendulum if the time period (T) is 1.5 second and distance from point of suspension to center of gravity is “h”& is equal to 25 cm.
solve a and b please. A horizontal conveyer belt moving at a uniform speed of 1.2 M/S transports material at the rate of 100 tonnes/hr. Belt is 200 M long and driven by a motor at 1200 rpm. (a) Determine the load inertia referred to the motor shaft. (b) Calculate the torque that motor should develop to accelerate the belt from standstill to full speed in 8 sec. Moment of inertia of the motor is 0.1 kg-.m2
The uniform bar shown has mass m, length l, and mass momentof inertia I about its mass center. The bar is supported by two springs k1and k2, as shown in the figure. Obtain the differential equation of motion anddetermine the natural frequency of the system in the case of small oscillations. (USE VIRTUAL WORK METHOD)
A wheel with rotational inertia 45 kg.m2 is mounted on a fixed, frictionless axle. The angular speed of the wheel is increased from zero to 44 rad/s in 13-s. What is the AVERAGE power input to the wheel during this time interval?
A mass of 500 kg is being lifted at uniform speed of 1.5 m/s by a winch driven by a motor running at a speed of 1000 r/min. The moments of inertia of the motor and winch are 0.5 and 0.3 kg^2, respectively. In the absence of the mass, the motor develops a torque of 100 Nm at a speed of 1000 r/min. Calculate a) the equivalent moment of inertia referred to the motor side; b) the motor torque.
A sphere of mass M and radius R is not necessarily solid or hollow. It has moment of inertia I= cMR2. As shown in the figure, the sphere starts from rest and rolls without slipping down a ramp from height H. It then moves back up the other side, but now with no friction at all between the sphere and the ramp. What height does the sphere reach?