i need help, show ur work. A mass of 8 kg is suspended by three massless ropes a

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i need help, show ur work.

A mass of 8 kg is suspended by three massless ropes as shown. What is the magnitude of the tension T2?(g = 9.8 m/s2) N A person in an elevator is holding a 12 kg block by a cord rated to withstand a tension of 270 N. When the elevator starts up, the cord breaks. What was the magnitude of the minimum acceleration of the elevator? m/s2 A sled of mass m = 80 kg is being pulled horizontally on a frictionless floor by a force F = 300 N that makes an angle 20° above the horizontal. What is the magnitude of the normal force applied by the ground on the sled? (g = 9.8 m/s2) Newtons. The pulley system in the figure is used to lift a crate of mass m = 57 kg. Note that a chain connects the upper pulley to the ceiling and a second chain connects the lower pulley to the crate. Assume that the masses of the chains, pulleys, and ropes are negligible. Determine the tension in the upper chain when the crate is being lifted with constant speed. N

Explanation / Answer

1) sum forces in the y

T1 * sin30 - mg = 0
T1 = mg/sin 30

sum forces in the x

T2 - T1 cos 30 = 0
T2 = 8*9.8*cot(30)=135.8 N

2) for block T - mg = ma

a = 270/12 - 9.81=12.69 m/s^2

3) sum forces in the y

F*sin(20) + N - mg = 0

N = mg - F sin(20) = 80*9.81 -300*sin(20)=682.2 N

4) 2F - mg = 0
F = mg/2

so T in upper chain = mg = 57*9.81=559 N

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