(d) Calculate the angular velocity of the cylinder in the finalcase (w2) using the conservation of energy between thetwo states. A solid homogeneous cylinder with diameterd = 340 mmrolls without slipping on the horizontal plane. The cylinderhas a mass of 30 kg and is at rest in the position shown inthe Figure Q2.1 below. The stiffness of the spring is 350N/m and its unstretched length is 600 mm.k = 350 N/md = 340 mm500 mm1200 mmFigure Q2.1(a) Calculate the moment of inertia, I, of the cylinder about theaxis into the page at the centre of mass of the cylinder.(b) Calculate the potential energy stored in the spring for theinitial case when the system is at rest (Ep1).(c) The cylinder then rolls to a position 400 mm to the right,calculate the potential energy stored in the spring for thisfinal case (Ep2).

Answered: Image /qna-images/answer/6319e23a-b8f2-4ba7-8038-7df39c5e4fdd.jpg

A solid homogeneous cylinder with diameterd 340 mm rolls without slipping on the horizontal plane. The cylinder has a mass of 30 kg and is at rest in the position shown in the Figure Q2.1 below. The stiffness of the spring is 350 N/m and its unstretched length is 600 mm. k = 350 N/m %3D d = 340 mm 500 тm 1200 mm Figure Q2.1 (a) Calculate the moment of inertia, I, of the cylinder about the axis into the page at the centre of mass of the cylinder. (b) Calculate the potential energy stored in the spring for the initial case when the system is at rest (Ep1). (c) The cylinder then rolls to a position 400 mm to the right, calculate the potential energy stored in the spring for this final case (Ep2). ww

A solid homogeneous cylinder with diameterd 340 mm rolls without slipping on the horizontal plane. The cylinder has a mass of 30 kg and is at rest in the position shown in the Figure Q2.1 below. The stiffness of the spring is 350 N/m and its unstretched length is 600 mm. k = 350 N/m %3D d = 340 mm 500 тm 1200 mm Figure Q2.1 (a) Calculate the moment of inertia, I, of the cylinder about the axis into the page at the centre of mass of the cylinder. (b) Calculate the potential energy stored in the spring for the initial case when the system is at rest (Ep1). (c) The cylinder then rolls to a position 400 mm to the right, calculate the potential energy stored in the spring for this final case (Ep2). ww

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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Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

(d) Calculate the angular velocity of the cylinder in the final
case (w2) using the conservation of energy between the
two states.

A solid homogeneous cylinder with diameterd = 340 mm
rolls without slipping on the horizontal plane. The cylinder
has a mass of 30 kg and is at rest in the position shown in
the Figure Q2.1 below. The stiffness of the spring is 350
N/m and its unstretched length is 600 mm.
k = 350 N/m
d = 340 mm
500 mm
1200 mm
Figure Q2.1
(a) Calculate the moment of inertia, I, of the cylinder about the
axis into the page at the centre of mass of the cylinder.
(b) Calculate the potential energy stored in the spring for the
initial case when the system is at rest (Ep1).
(c) The cylinder then rolls to a position 400 mm to the right,
calculate the potential energy stored in the spring for this
final case (Ep2).

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