Question

A simple pendulum oscillates freely between points $A$ and $B$. We now put a peg (nail) at some point $C$ as shown. As the pendulum moves from $A$ to the right, the string will bend at $C$ and the pendulum will go its extreme point $D$. Ignoring friction, the point $D$

• A. Will lie on the line $AB$
• B. Will lie above the line $AB$
• C. Will lie below the line $AB$
• D. Will coincide with $B$

Answer 1

The correct option is A Will lie on the line $AB$

Since the energy will be conserved.

$K{E}_1+U_1=K{E}_2+U_2$

at extreme point KE=0

so $U_1=U_2$

Therefore D will lie on line AB