Equilibrium of a lamina Quiz

1. A uniform lamina is freely suspended from a point $P$. Which statement is true in equilibrium?

• A. $G$ is at the same level as $P$
• B. $G$ is vertically below $P$
• C. $G$ is vertically above $P$
• D. $G$ is on the line $PQ$ for any other corner $Q$

2. A uniform square lamina $ABCD$ hangs freely from $A$. What angle does $AB$ make with the vertical?

• A. $0^\circ$
• B. $30^\circ$
• C. $45^\circ$
• D. $60^\circ$

3. A uniform rectangle $ABCD$ with $AB=8$ cm and $BC=6$ cm hangs from $A$. What angle does $AB$ make with the vertical?

• A. $36.9^\circ$
• B. $53.1^\circ$
• C. $30^\circ$
• D. $45^\circ$

4. $G$ of a lamina is $20$ cm along the lower edge from the lowest corner and $50$ cm above the plane. At what inclination does it begin to topple?

• A. $68.2^\circ$
• B. $23.6^\circ$
• C. $11.3^\circ$
• D. $21.8^\circ$

5. A lamina of weight $3$ N hangs from a pivot. A horizontal force $F$ acts at $0.5$ m below the pivot and holds $G$ at $0.4$ m horizontally from the pivot. Find $F$.

• A. $1.5$ N
• B. $2.4$ N
• C. $3.75$ N
• D. $6.0$ N