34. A bucket of water with total mass 23 kg is attached to a rope, which in turn

Question

34. A bucket of water with total mass 23 kg is attached to a rope, which in turn is wound around a 0.050-m radius cylinder at the top of a well. A crank with a turning radius of 0.25 m is attached to the end of the cylinder and the moment of inertia of cylinder and crank is 0.12 kg-m. If the bucket is raised to the top of the well and released, what is the acceleration of the bucket as it falls toward the bottom of the well? (Assume rope's mass is negligible, that cylinder turns on frictionless bearings and that g 9.8 m/s.) a. 3.2 m/s b. 6.3 m/s c. 7.4 m/s d. 9.8 m/s

Explanation / Answer

here,

mass of bucket , m1= 23 kg

moment of inertia of cyclinder and crank , I = 0.12 kg.m^2

the accelration , a = net force /effective mass

a = ( m1 * g) /( m1 + I/0.25^2)

a = (23 * 9.81) /( 23 + 0.12 /0.05^2)

a = 3.2 m/s^2

the accelration of the bucket is a) 3.2 m/s^2

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

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