Advanced — Block between WallsHardQuestion 30282
Question
Two vertical walls are at distance d apart. A horizontal block (mass m) is wedged between them with normal forces N₁ and N₂ on each wall. μ between block and wall = 0.3. The maximum weight that can be supported without the block falling is:
- A0.3(N₁+N₂)Correct
- B0.3×2N₁
- C0.3mg
- D0.6N₁
Correct answer
0.3(N₁+N₂)
Explanation
Friction on each wall acts upward: f₁ = μN₁ and f₂ = μN₂. Vertical equilibrium: f₁+f₂ = mg → μ(N₁+N₂) = mg. Max weight = 0.3(N₁+N₂).