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A small-angle approximation was used to derive the equation =( m g ) . What cons

ID: 1471958 • Letter: A

Question

A small-angle approximation was used to derive the equation =(mg).

What constitutes small in this context? In other words, how large can be before it can no longer be called small?

What constitutes small in this context? In other words, how large can  be before it can no longer be called small?

"Small" in this context means that approximation sin(), is valid for the entire range of motion. This happens when cm is much greater than the arc length over which system center of mass is displaced. "Small" in this context means that approximation e, is valid near the equilibrium position. This happens when cm is much smaller than the arc length over which system center of mass is displaced. "Small" in this context means that approximation e, is valid for the entire range of motion. This happens when cm is much greater than the arc length over which system center of mass is displaced. "Small" in this context means that approximation ln(), is valid for the entire range of motion. This happens when cm is much greater than the arc length over which system center of mass is displaced. "Small" in this context means that approximation sin(), is valid near the equilibrium position. This happens when cm is much smaller than the arc length over which system center of mass is displaced. "Small" in this context means that approximation ln(), is valid for the entire range of motion. This happens when cm is much greater than the arc length over which system center of mass is displaced.

Explanation / Answer

The angle is so small that the relation sin() holds good. Once this relation starts getting violated then you start saying that is large....

"Small" in this context means that approximation sin(), is valid for the entire range of motion. This happens when cm is much greater than the arc length over which system center of mass is displaced.

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