A small sphere slides without friction on a smooth wire bent in the shape of a cycloid (figure 2) whose parametric equation is: x =a( ϴ− sinϴ ) y = a (1 + cos ϴ) Remark: A parametric equation is composed of the (x, y) coordinates of the system and is counted as a single equation even if the coordinates are separated. Get the following for the above statement: a) Restriction equations. b) Number of degrees of freedom c) The kinetic energy of the system. d) The potential energy of the system e) The equations that describe the motion of the system
A small sphere slides without friction on a smooth wire bent in the shape of a cycloid (figure 2) whose parametric equation is: x =a( ϴ− sinϴ ) y = a (1 + cos ϴ) Remark: A parametric equation is composed of the (x, y) coordinates of the system and is counted as a single equation even if the coordinates are separated. Get the following for the above statement: a) Restriction equations. b) Number of degrees of freedom c) The kinetic energy of the system. d) The potential energy of the system e) The equations that describe the motion of the system
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A small sphere slides without friction on a smooth wire bent in the shape of a
cycloid (figure 2) whose parametric equation is:
x =a( ϴ− sinϴ )
y = a (1 + cos ϴ)
Remark: A parametric equation is composed of the (x, y) coordinates of the system and is counted as a
single equation even if the coordinates are separated.
Get the following for the above statement:
a) Restriction equations.
b) Number of degrees of freedom
c) The kinetic energy of the system.
d) The potential energy of the system
e) The equations that describe the motion of the system
Transcribed Image Text:m
2a
Figure 2
X.
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