Why is Tension not equal to m2g as seen below? Why is tension less than m2g? Two

Question

Why is Tension not equal to m2g as seen below? Why is tension less than m2g?

Two masses, m_1 and m_2, are connected to each other as shown in Figure 6-5. Mass m_1 slides without friction on the table surface. Both masses have acceleration of magnitude a as shown. How does the tension in the string compare to the weight, m_2 g, of mass m_2? The tension is equal to m_2 g. The tension is larger than m_2 g. The tension is smaller than m_2 g. It depends on m_1 being smaller than m_2. It depends on m_1 being larger than m_2.

Explanation / Answer

here,

as the accelration of the system is a

let the tension in the string be t

for block m2

m2g - t = m2*a

t = m2 * g - m2 * a

therefore , tension in the string is less than m2 * g

because some force is also needed to accelrate m2 mass

the tension in the string is smaller than C) m2 * g

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