The block on a smooth inclined plane is moving down with a constant acceleration of 5 m/s m, m. The block on the inclined plane is 47 kg and the hanging mass is 23 kg. The radius of the pulley is 0.26 m. The angle theta is 43 degress. Determine the moment of inertia of the pulley

The block on a smooth inclined plane is moving down with a constant acceleration of 5 m/s m, m. The block on the inclined plane is 47 kg and the hanging mass is 23 kg. The radius of the pulley is 0.26 m. The angle theta is 43 degress. Determine the moment of inertia of the pulley

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 112AP: A system of point particles is rotating about a fixed axis at 4 rev/s. The particles are fixed with...

See similar textbooks

Similar questions

A system of point particles is rotating about a fixed axis at 4 rev/s. The particles are fixed with respect to each other. The masses and distances to the axis of the point particles are m1=0.1kg , r1=0.2m , m2=0.05kg , r2=0.4m , m3=0.5kg , r3=0.01m . (a) What is the moment of inertia of the system? (b) What is the rotational kinetic energy of the system?
You have a grindstone (a disk) that is 90.0 kg, has a 0.340-m radius, and is turning at 90.0 rpm, and you press a steel axe against it with a radial force of 20.0 N. (a) Assuming the kinetic coefficient of friction between steel and stone is 0.20, calculate the angular acceleration of the grindstine. (b) How many turns will the stone make before coming to rest?
A boy stands at the center of a platform that is rotating without friction at 1.0 rev/s. The boy holds weights as far from his body as possible. At this position the total moment of inertia of the boy, platform, and weights is 5.0kgm2 . The boy draws the weights in close to his body, thereby decreasing the total moment of inertia to 1.5kgm2 . (a) What Is the final angular velocity of the platform? (b) By how much does the rotational kinetic energy increase?
PLEASE SEND THE ANSWER IN 10 MINUTES !!! Consider the system shown below where four point masses are connected to each other by massless rods. Two of the masses are m=2kg and the other two have the masses of M=4kg. If a=0.9m, b=0.6m and the system rotates about x−axis, determine the moment of inertia of the system. Express your answer in units of kg⋅m2 using one decimal place.
Suppose partial melting of the polar ice capsincreases the moment of inertia of the Earth from 0.331 MERE2 to0.332 MERE2. (a) Would the length of a day (the time required forthe Earth to complete one revolution about its axis) increase ordecrease? Explain. (b) Calculate the change in the length of a day.Give your answer in seconds
use two points: one taken at near the beginning of its descent,“initial”, and one just prior to the hanging mass reaching its lowest point, “final”, to determine themoment of inertia of the disk/plate. Note the position of the hanging mass is yh , and its velocity is vh . The moment of inertia isI forwhatever is rotating.1. Isolate the moment of inertia, algebraically from the above equation as all other variables have beenmeasured. Solve for the variable in terms of the others because there is no data so only working with variables.
Four equal masses MMM are spaced at equal intervals, ℓℓ, along a horizontal straight rod whose mass can be ignored. The system is to be rotated about a vertical axis passing through the mass at the left end of the rod and perpendicular to it. Part A What is the moment of inertia of the system about this axis? Express your answer in terms of the variables MMM and lll. II = 3Ml2 SubmitPrevious AnswersRequest Answer Incorrect; Try Again; 5 attempts remaining Your answer either contains an incorrect numerical multiplier or is missing one. Part B What minimum force, applied to the farthest mass, will impart an angular acceleration αα? Express your answer in terms of the variables MMM, lll, and ααalpha. FminFmin = nothing SubmitRequest Answer Part C What is the direction of this force? What is the direction of this force? The force is perpendicular to the rod and…
help The moment of inertia is the quantity that replaces mass in all the old formulas. Not only is the mass of an object important, but also how that mass is distributed. Find the moment of inertia of a 3 meter long stick with a mass of 32 kg, if it is spun about the center of the stick ISphere = 2/5 MR2 ICylinder = 1/2 MR2 IRing = MR2 IStick thru center = 1/12 ML2 IStick thru end = 1/3 ML2
An object rolls without slipping down a 1.99 m high incline. What is the moment of inertia of the object starting from rest if it has a final velocity of 5.3 m/s? Express the moment of inertia as a multiple of MR2 , where M is the mass of the object and R is its radius? I/(MR^2) =
QUESTION3(11.38) An Atwood machine consists of two masses, mA= 6.9 kg and mB = 8.7 kg , connected by a cord that passes over a pulley free to rotate about a fixed axis. The pulley is a solid cylinder of radius R0 = 0.40 m and mass 0.80 kg . Part A Determine the magnitude of the acceleration a of each mass. Express your answer using two significant figures. Part B What percentage of error in a would be made if the moment of inertia of the pulley were ignored? Ignore friction in the pulley bearings. Express your answer using two significant figures. (Error=%?)
QUESTION3(11.38) An Atwood machine consists of two masses, mA= 6.9 kg and mB = 8.7 kg , connected by a cord that passes over a pulley free to rotate about a fixed axis. The pulley is a solid cylinder of radius R0 = 0.40 m and mass 0.80 kg . Part A Determine the magnitude of the acceleration a of each mass. Express your answer using two significant figures. Part B What percentage of error in a would be made if the moment of inertia of the pulley were ignored? Ignore friction in the pulley bearings. Express your answer using two significant figures. (Error=%?)The answer to this part is not 2.8% or 3%
The yo-yoA child plays with a yo-yo with an outer radius of 2.9 cm and a mass of 250 g, equipped with a string wound around the central part of the yo-yo on a circle with an inner radius of 1.3 cm (see diagram below). The moment of inertia of the yo-yo is equal to 1.89×10^-4 kg·m^2. After imparting a clockwise angular velocity ω of 25 rad/s to the yo-yo, the child places the yo-yo against a horizontal surface (coefficient of kinetic friction of 0.17) by pulling vertically on the wound string, as illustrated in the diagram below, using a force F of 0.80 N. (The child will maintain the magnitude and orientation of the force F during the yo-yo's movement.) Hint: The kinetic friction force is applied forward since the yo-yo has an angular velocity in the clockwise direction and is not moving (it was initially placed on the surface horizontally). Thus, it can be asserted that the yo-yo initially slides on the horizontal surface (it does not roll without sliding!!!). (a) How much time will…