In the figure, Indiana Jones is swinging from a rope. The distance between the p

Question

In the figure, Indiana Jones is swinging from a rope. The distance between the pivot point and his center of mass is 31.0 m. He begins swinging from rest at an angle = 17.0o as shown in the figure.

Assuming that Indiana and the rope can be treated as a simple pendulum, what is the value of after 1.26 s (in degrees)?

**HINT**
Use the linear approximation for the
pendulum motion, which is accurate
enough for these small angles.

In the figure, Indiana Jones is swinging from a rope. The distance between the pivot point and his center of mass is 31.0 m. He begins swinging from rest at an angle ? = 17.0o as shown in the figure. Assuming that Indiana and the rope can be treated as a simple pendulum, what is the value of ? after 1.26 s (in degrees)? **HINT** Use the linear approximation for the pendulum motion, which is accurate enough for these small angles.

Explanation / Answer

for this oscillation, time constant T = 2pi/w. where w=sqrt(g/l). so T=11.2(s) and w=0.56(rad/s). 17 degrees= 0.3(rad). equation of motion. alpha=0.3*cos(w*t)=0.3*cos(0.56*t). so alpha(t=1.26)=0.23(rad)=13.1(degrees)

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