Flag Wave Motion> Figure shows a physical pendulum construc...
question mark

Figure shows a physical pendulum constructed from equal-length sections of identical pipe. The inner radius of the pipe is 10.2 cm and the thickness is 6.40 mm.
(a)    Calculate the period of oscillation about the pivot shown.
(b) Suppose that a new physical pendulum is constructed by rotating the bottom section 90° about a vertical axis through its center. Show that the new period of oscillation about the same pivot is about 2% less than  the period of the original pendulum.
 src=data:image/png;base64,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

Simran Bhatia , 9 Years ago
Grade 11
anser 0 Answers

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...