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A wardrobe(mass 100 kg, height4m, width 2 m, depth 1 m), symmetric about the Y-Y axis, stands on a rough level floor as shown in the figure. A force P is applied at mid-height on the wardrobe so as to tip it about point Q without slipping. What are the minimum values of the force (in newton) and the static coefficient of friction μ between the floor and the wardrobe, respectively?
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- 490.5 and 0.5
- 981 and 0.5
- 1000.5 and 0.15
- 1000.5 and 0.25
Correct Option: B
Taking moments about Q, ⅀MQ = 0
⇒ W × 1m = P × 2m
| ⇒ P = | = 490.5 N | |
| 2 |
⅀H = 0
⇒ FF = P = 490.5 N
⅀V = 0
⇒ RN = mg = 981 N
Friction Force = μRN
| μ = | = 0.5 | |
| 981 |
