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In description of circular motion, we refer angular quantities as the analogous to linear quantities. Consider the wheel that freely rotates about axle. Axle is the axis of circular rotation for wheel. Angular position is the angle, which keeps on changing from the reference point. Its SI unit is radian. θ < 0 is clockwise rotation θ > 0 is anticlockwise rotation . A radian is angle in which the arc measurement, S...
As given in question,
It is a case of measurement of single plane balancing, with following data
Unbalance amplitude = 0.165 mm at phase angle degree = 15o
Trial weight = 50 gm at phase angle degree 45o CCW and amplitude 0.225 mm.
First, we will express the above condition in the form of vector, and assumption was taken as counter clockwise will be positive direction
Suppose the vector of original unbalance =
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Equations of motion about P and Q
Assuming θ1 and θ2 are small, the moment equilibrium equations for the two moves about P and Q.
At point P, the equation of motion will be;
j + mglsin θ1+ k(x1-x2) d =0
Taking account of horizontal displacement, we have
X1= dsin θ1
X2=d sin θ2
Note θ2 is the displacement for pendulum 2
Substituting j with ml2, x1 with dsin θ1 an...
The given Problem describes the problem of balancing in a single plane, these are the following data which is tabulated for ease of calculation given below
As given in problem
Weight = 50...
In a vehicle design it is quite paramount to determine the vibration factor based on a number of specifications. The dynamics of a vehicle need to be discussed clearly so as to avoid vibrations which are undesired in roadside structures as well as for other elements in the vehicles -. The designer focuses on the vibrations developed or transferred from the road to the car body structures based on the road surface. A...
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