A ball of mass m is tied by a string to a cart of mass 4m by a string that passe

Question

A ball of mass m is tied by a string to a cart of mass 4m by a string that passes over a pulley. The cart is on wheels, which allows us to neglect friction between the cart and the horizontal table the cart is on. The pulley is a uniform solid disk of mass 2m that rotates without friction about an axle passing through its center. To start with, completely ignore the mass of the pulley. In other words, we'll just analyze this situation, to start with, based on methods we applied in module 4. Neglecting the mass of the pulley, what is the ball's acceleration, after the system is released from rest? g g/2 g/3 g/4 g/5 g/6 g/7

Explanation / Answer

let T be the tension in the string and a be he acceleartion

for mass m

mg-T = ma

so T =mg- ma ...........(1)

now mass 4m

T = (4m)a ......... (2)

plug in the value of T from equation (1) into equation 2

mg- ma (4m)a

mg= 4ma + ma

mg= 5 ma

a= g/5

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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