Consider a bicycle wheel that initially is not rotating. A block of mass m is attached to the wheel via a string and is allowed to fall a distance h. Assume that the wheel has a moment of inertia I about its rotation axis
Now consider the case that the string tied to the block is wrapped around a smaller inside axle of the wheel of radius rB. Find ωB, the angular speed of the wheel after the block has fallen a distance h, for this case.
Express ωB in terms of m, g, h, rB, and I.
Which of the following describes the relationship between ωA and ωB?
1. ωA>ωB
2. ωB>ωA
3. ωA=ωB

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2