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The point of suspension of a simple pendulum is given by a harmonic motion x0 = Xo sin wt along a horizontalline, as shown in Figure.
Write the differential equation of motion for a small amplitude of oscillation using the coordinates shown.
Determine the solution for x/xo, and show that when ω=(√2ωn )the node is found at the midpoint of I.
Show that in general the distance h from the mass to the node is given by the relation
h=l(ωn/ω)2,Where ωn=(√g/l).
you are moving into an apartment and take the elevator to the 6th floor. suppose your weight is 663 n and that of your
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A dog running in an open field has components of velocity vx = 2.6 m/s and vy = -1.8 m/s at time t1 = 10.7 s . For the time interval from t1 = 10.7 s to t2 = 21.6 s , the average acceleration of the dog has magnitude 0.45 m/s2 and direction 29.0o ..
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A particle undergoes two displacements. The first has a magnitude of 119 cm and makes an angle of 106 degrees with the positive x axis. The resultant displacement has a magnitude of 111 cm and is directed at an angle of 37.7 degrees to the positive x..
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