Doubt by Ashish
sir jii is question ka concept btaye ..
Answers
Answer by Shreya
Here, we can calculate the minimum coefficient of friction by using the below formula:
F = μN
Where,F = the resistive horizontal force of frictionμ = coefficient of friction for the two surfacesN = the normal or perpendicular force pushing the two objects together=> Thus, net Horizontal force on the wedge, F:
F - mgsinፀcosፀ = m(a) [but m(a)= 0]
F - mgsinፀcosፀ = 0
F = mgsinፀcosፀ
F = mg sin 45° cos 45° [sin 45° = 1/√2, cos 45° = 1/√2]
F - mgsinፀcosፀ = m(a) [but m(a)= 0]
F - mgsinፀcosፀ = 0
F = mgsinፀcosፀ
F = mg sin 45° cos 45° [sin 45° = 1/√2, cos 45° = 1/√2]
F = mg * 1/√2 * 1/√2 [1/√2 * 1/√2 = 1/2]F = mg/2
Now, the normal or perpendicular force N:
N = mgcos²ፀ + 2mg = mgcos(45°)²+ 2mg
N = mgcos²ፀ + 2mg = mgcos(45°)²+ 2mg
[cos(45°)² = 1/2]= mg/2 + 2mg = mg + 4mg / 2 = 5mg / 2=>
Thus, the minimum coefficient of friction,
μ:F = μNμ = F/N= mg / 2 / 5mg / 2= mg * 2 / 2 * 5mg
= 1/5 = 0.2
© 2024 GoodEd Technologies Pvt. Ltd.