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
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Author:Sadiku, Matthew N. O.
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(d) Calculate the angular velocity of the cylinder in the final
case (w2) using the conservation of energy between the
two states.
Transcribed Image Text:(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).
Transcribed Image Text: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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