Two blocks (m1 = 9.0 kg and m2 = 7.0 kg) sit on a ramp (incined at 35° with respect to the ground). They are held in place by wires
If the coefficient of static friction between the blocks and the ramp is 0.12, what is the tension in the wire between m1 and m2
What is the tension in the wire between m2 and the wall
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Verified answer
Well, Here's the solution.
Let T1 be the tension on the string between the wall and m1.
Let T2 be the tension on the string between m1 and m2.
Let F1 be the frictional force between the ramp and m1.
Let F2 be the frictional force between the ramp and m2.
Let N1 and N2 be the normal reactions on m1 and m2 respectively.
Let C be the coefficient of friction.
Now,
F1 = CxN1 and F2 = CxN2
N1 = m1 g sin35 and N2 = m2 g sin35
At equilibrium,
m2 g cos35 = F2 T2
m1 g cos35 T2 = F1 T1
There! You can find T1 and T2 using the above two equations.
Enjoy!
because of the fact the coef. of static friction is given, it fairly is nicely worth checking to work out if the equipment will pass in any respect .. Friction between m1 and table .. Ff = ?(s).R .. .. (R = perp. stress, m1g) Ff = 0.40 4 x (41kg x 9.80) .. .. .. Ff = 176.80 N whilst the equipment is at relax the stress interior the string, T = m2.g (weight of m2) T = 15kg x 9.80 .. .. T = 147.0 N the stress isn't adequate to go m1 from relax .. ?T continues to be at 147.0 N