Two masses of 3.00 kg and 5.00 kg are connected by a light stringthat passes over a frictionless pulley, and was shown in Figure5.15a. Figure 5.15a (a

nagasenaz

nagasenaz

Answered question

2021-01-10

Two masses of 3.00 kg and 5.00 kg are connected by a light stringthat passes over a frictionless pulley, and was shown in Figure5.15a.
Figure 5.15a
(a) Determine the tension in the string. N
(b) Determine the acceleration of each mass.
m/s2 upwards (3.00 kg mass)
m/s2 downwards (5.00 kg mass)
(c) Determine the distance each mass will move in the firstsecond of motion if they start from rest.
m (3.00 kg mass)
m (5.00 kg mass)
i don't understand how to do like any of this problem, someone please help me!!!!!

Answer & Explanation

casincal

casincal

Skilled2021-01-11Added 82 answers

Total forces acting on both masses together mustbe: forward, Mg backward,mg
The masses move together, so they have the same acceleration. So total force = total mass×a
Mg - mg = ( M + m ) a
a=g(Mm)(M+m)=9.8×2.008.00=2.45ms this is the acc for both Tension? consider just the smaller mass. total force = ma
T - mg = ma
T = mg + ma = m ( g + a) = 3.00×(9.8+2.45) = 36.75 Newtons
And the distance? They move the same distance. This can befound by using dist = 12at2=12×9.8×12=4.9meters they bothmove this distance in the first second

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