Consider a hollow clay cylinder, which has a moment of inertia 87 kg-m2. The cylinder is free to rotate frictionless-ly, and it starts from rest. It rotate about a fixed axis through its center. Let's assume that we apply a tangential force to the end of the cylinder (the flat face of the shape) with a magnitude which can range from F = 0 to F = 61 N. The force can be applied at any distance from the axis of the cylinder ranging from R=0 to R=4 m from the axis of rotation. (a) Find a pair of values of F and R that cause the disk to complete 2.00 rev in 10.0 s. (b) Is your answer for the previos part unique? How many answers exist?

Consider a hollow clay cylinder, which has a moment of inertia 87 kg-m2. The cylinder is free to rotate frictionless-ly, and it starts from rest. It rotate about a fixed axis through its center. Let's assume that we apply a tangential force to the end of the cylinder (the flat face of the shape) with a magnitude which can range from F = 0 to F = 61 N. The force can be applied at any distance from the axis of the cylinder ranging from R=0 to R=4 m from the axis of rotation. (a) Find a pair of values of F and R that cause the disk to complete 2.00 rev in 10.0 s. (b) Is your answer for the previos part unique? How many answers exist?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Consider a hollow clay cylinder, which has a moment of inertia 55 kg-m2. The cylinder is free to rotate frictionless-ly, and it starts from rest. It rotate about a fixed axis through its center. Let's assume that we apply a tangential force to the end of the cylinder (the flat face of the shape) with a magnitude which can range 'from F = 0 to F = 75 N. The force can be applied at any distance from the axis of the cylinder ranging from R=0 to R=10 m from the axis of rotation. (a) Find a pair of values of F and R that cause the disk to complete 2.00 rev in 10.0 s. (b) Is your answer for the previos part unique? How many answers exist?
A 6-m long ladder has a mass of 16 kg, and its center of gravity is 2.4 m from the bottom along the ladder. The ladder is resting on a 5° upward sloping floor at A and on a wall inclined to the right at 5° from the vertical at B, so that it makes an angle of 60° with the horizontal.How far up along the ladder can a 79-kg man climb before the ladder is on the verge of slipping? The angle of friction at all contact surfaces is 15°. Also determine the total reaction at A and B in Newton. Note: Point A is at the left of point B.
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Theory of machine
ANSWER 5.5.15 THANK YOUU
Dynamics of Rigid Bodies
A weight with mass mw=150 g is tied to a piece of thread wrapped around a spool, which is suspended in such a way that it can rotate freely. When the weight is released, it accelerates toward the floor as the thread unwinds. Assume that the spool can be treated as a uniform solid cylinder of radius R=4.00 cm and mass Ms=200 g. Find the magnitude ?a of the acceleration of the weight as it descends. Assume the thread has negligible mass and does not slip or stretch as it unwinds. Use ?=9.81 m/s2. Find the tension T in the thread.
A 50 N force is applied 50 cm from the axis of rotation of a rigid body. The body starts from rest and completes 5 revolutions in 2.5 s. Calculate the Moment of Inertia of the body.
A shaft and its associated rotating parts has a moment of inertia of 50 kg m2. The angular acceleration of the shaft to produce an accelerating torque of 5 kN m is:
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