First slide

Motion of centre of mass

Question

A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. Which figure represents trace of its centre of mass.

Moderate

A
B
C
D

Solution

x
$\large x_c=\frac l2cos\theta;y_c=\frac l2sin\theta$

$\large \therefore x_c^2+y_c^2=\left ( \frac l2 \right )^2$

This equation represents a circle of radius l/2 with its centre at the origin. so option-(2) is right.

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