A cylinder rotates with constant angular accelaration about a fixed axis. The cy

Question

A cylinder rotates with constant angular accelaration about a fixed axis. The cylinder's moment of inertia about the axis is 4 kg m2. At time t = 0 the cylinder is at rest. At time t = 2 seconds its angular velocity is 1 radian per second What is the angular acceleration of the cylinder between t = 0 and t = 2 seconds? A uniform stick has length L. the moment of interia about the center of the stick is I0. A particle of mass M is attached to one end of the stick. The moment of interia of the combined system about the center of the stick is A 4 - kilogram mass has a speed of 6 meters per second on a horizontal frictionless surface, as shown. The mass collides head - on elastically with an identical 4 - kilogram mass initially at rest. The second 4 - kilogram mass then collides head - on and a third 4 - kilogram mass initially at rest. The final speed of the two 4 - kilogram masses that stick together is

Explanation / Answer

1) wf - wi = alpha x t

1 - 0 = 2 x alpha

alpha = 0.5 rad/s2

2) moment of inertia of system = moment of inertia of rod + moment of inertia of mass

= I0 + m (L/2)^2

= I0 + mL^2 /4

3) mass is same and elastic colliison ,

velocities of masses just exchange.

velocity of mass = 6 m/s

for inelastic collision,

4 x 6 = (4 +4)v
v = 3 m/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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