Friction Quiz

1. Find the maximum friction on a $5$ kg particle on a rough horizontal surface with $\mu=0.3$ (take $g=9.8$).

• A. $14.7$ N
• B. $1.5$ N
• C. $49$ N
• D. $4.9$ N

2. A particle is in limiting equilibrium on a rough plane inclined at $30^\circ$. Find $\mu$.

• A. $0.5$
• B. $0.866$
• C. $0.577$
• D. $1.73$

3. A horizontal force of $20$ N acts on a $4$ kg box with $\mu=0.6$ on a horizontal floor (take $g=9.8$). Find the friction force.

• A. $23.5$ N
• B. $0$ N
• C. $3.5$ N
• D. $20$ N

4. A particle slides down a rough plane inclined at $30^\circ$ with $\mu=0.2$ (take $g=9.8$). Find its acceleration.

• A. $4.9$ m s⁻²
• B. $3.20$ m s⁻²
• C. $1.70$ m s⁻²
• D. $6.6$ m s⁻²

5. A $2$ kg particle on a horizontal floor is pulled by a rope with tension $10$ N at $30^\circ$ above the horizontal (take $g=9.8$). Find the normal reaction.

• A. $24.6$ N
• B. $10.9$ N
• C. $14.6$ N
• D. $19.6$ N