Question

Help PLEASE!! Need to find tension keep getting it wrong. FAN AND MEDAL!!! The system shown in the figure below has an acceleration of magnitude 1.17 m/s2, where m1 = 3.10 kg and m2 = 6.30 kg. Assume that the coefficient of kinetic friction between block and incline is the same for both inclines. I calculated friction its 0.092, I need the tension in the string.... See attached

Answer 1

To find tension, just consider the net force acting on one of the masses.
I'm going to use mass 2 because it's my preference.

Fnet = Fg|| - Ff - T ; Fg is parallel gravitational acceleration, Ff is friction, T is tension

Fg|| (|| = parallel) is found by trig: Fg|| = (m2) g sin(35) = 35.41 N

Ff is found by product of normal force and coefficient: Ff = u Fn = 4.70 N

T is unknown and what we're looking for.

Fnet = (m2) a = 7.37 N

We solve for T in the equation: T = Fg|| - Ff - Fnet

T = (35.41) - (4.70) - (7.37) = 23.3 N

You could do the same for mass 1 and you should get the same answer. I haven't done that check.

Answer 2

THANK YOU SOOOO MUCH!!!!!