A rubber stopper of mass m is connected by two light strings of length l to a ve

Question

A rubber stopper of mass m is connected by two light strings of length l to a vertical revolving

axle. The axle is set to rotate at an angular velocity ?? causing each

string to make an angle of 45o

with the axle. Take gravity to be

directed downwards.

A) Draw a clear freebody diagram for the stopper.

B) Find the tensions T1 in the upper string and T2

in the lower

string.

A rubber stopper of mass m is connected by two light strings of length l to a vertical revolving axle. The axle is set to rotate at an angular velocity omega causing each string to make an angle of 45degree with the axle. Take gravity to be directed downwards. Draw a clear freebody diagram for the stopper. Find the tensions T1 in the upper string and T2 in the lower string.

Explanation / Answer

mg + T1*cos45 = T2*cos45

T1*sin45 + T2*sin45 = mrw^2

r = L*cos45

Thus,

T2 + T1 = mL*w^2

T2 - T1 = (sqrt 2)*mg

T2 = m*[(sqrt 2)*g + Lw^2] / 2

T1 = m*[Lw^2 - (sqrt 2)*g] / 2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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