Two boxes, with mass m1 and m2, are connected by a very light string over a fric

Question

Two boxes, with mass m1 and m2, are connected by a very light string over a frictionless pulley. Let the mass on the Track be m1 (in the experiment that will be the Dynamic Cart plus Force sensor) and the hanging mass be m2 (that is mass hanger and mass added). Using Newton’s Laws, find the tension in the string in terms of the masses (m1 and m2) and other known constants. Find also the acceleration.


That is the question from the image,it won't display properly. But I need an equation created from the information given based on Newton's second law of motion.

Explanation / Answer

two bodies of mass m1and m2 are connected by light string which passes over a frictionaless pulley as shown in the figure

the surface on which m1 slides is smooth

two bodiesmove with same acceleration

the forces on m2 are

1 the weight m2g are acting downwards

2 the tension acting upwards

m2g-T=m2a...................(1)

the force on m1 are

(1) the weight m1g are acting downwards

2 normal reaction of the surface on the body acting upwards

3. the tension T acting towards right

T=m1a......................(2)

from eq1 and eq2 we get

m2g-m2a=m1a

a=(m2/m1+m2)g

tension T=m1m2g/m1+m2

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.