Calculate Tension in String: m1=4.50 kg, m2=7.50 kg, a=1.4 m/s^2

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In summary, the formula for calculating tension in a string is T = (m1 + m2) * a, where T is the tension, m1 and m2 are the masses of the objects connected by the string, and a is the acceleration of the objects. The units of measurement for tension are Newtons (N) in the metric system and pounds (lbs) in the imperial system. In this specific scenario, m1 = 4.50 kg, m2 = 7.50 kg, and a = 1.4 m/s^2. The calculated tension in the string would be T = (4.50 kg + 7.50 kg) * 1.4 m/s^2 =
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itsmyflow
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Homework Statement


Two blocks of mass m1 = 4.50 kg and m2 = 7.50 kg are connected by a massless string that passes over a frictionless pulley.The inclines are frictionless.

p4-54alt.gif



the magnitude of acceleration of each block is 1.4 m/s^2


Find the tension in the string.
?_?
may someone help me start this problem
 
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  • #2
Start by drawing a free-body diagram for each block.
Identify the forces and directions of each force on blocks 1 and 2 separately.
Then do you know how to find the tension?
 
  • #3
yeah i tried that. thanks
i figured out the problem

sum of the force = Tension- M G sin 35 = M A
 

FAQ: Calculate Tension in String: m1=4.50 kg, m2=7.50 kg, a=1.4 m/s^2

What is the formula for calculating tension in a string?

The formula for calculating tension in a string is T = (m1 + m2) * a, where T is the tension, m1 and m2 are the masses of the objects connected by the string, and a is the acceleration of the objects.

What are the units of measurement for tension?

The units of measurement for tension are Newtons (N) in the metric system and pounds (lbs) in the imperial system.

What is the value of m1, m2, and a in this specific scenario?

In this scenario, m1 = 4.50 kg, m2 = 7.50 kg, and a = 1.4 m/s^2. These values are given in the question.

What is the calculated tension in the string?

The calculated tension in the string would be T = (4.50 kg + 7.50 kg) * 1.4 m/s^2 = 15.4 N. Therefore, the tension in the string is 15.4 Newtons.

How does the mass of the objects and the acceleration affect the tension in the string?

The tension in the string is directly proportional to the mass of the objects connected by the string and the acceleration they experience. This means that as the mass of the objects or the acceleration increases, the tension in the string will also increase.

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