Use only formula I provided 7,8,9 please step by step please 7 7. A small ball is rotating in a circular path on a massless, rigid wire about a vertical post. The mass of the ball is 6.0 kg and its distance from the stick is 1.2 m. What is the moment of inertia of the center of mass of the ball about the axis of rotation? a 7.2 b. 8.6

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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Use only formula I provided 7,8,9 please step by step please 7 7. A small ball is rotating in a circular path on a massless, rigid wire about a vertical post. The mass of the ball is 6.0 kg and its distance from the stick is 1.2 m. What is the moment of inertia of the center of mass of the ball about the axis of rotation? a 7.2 b. 8.6
v2
Circular motion: ac =
R
Weight: Fg = mg,;
g = 9.8 m/s²;
Pavr =
At
Fnet = ma;
1
m v'; Potential energy: Ug = mgy
2
Kinetic energy: K =
E = Er
E = U+K
0 =2;
v2
a, =
Rotational motion:
1 rev = 27 rad;
v = o r;
a = a r;
2
O = 0o + at;
0 = 0o t +
2θα-ω?- 0
T=r x F;
T= rFsin%;
ET = Ia;
2
Ipoint mass = mr²
Idisk =
mR
+Rin
2
1
1
2
Ihoop = mR?
Irod(center) =
mL²
Irod(end) =
mL?
Iball =
mR?
Ishell =
mR?
12
dW
P =
dt
W
Pavr =
At
I= Icom + MD?
work: W =T 0;
W =
2
2
K=
Rolling:
K =
-Io
2
1
m Vcom
Vcom = Ro
2.
T= f,R
Fs,max = H,Fn
Incline: F= mgsin0 Fg=mgcos0
Angular momentum:
Lpoint mass =m rxv
L = mrvsin 0;
L=m (r,Vy - ryVz)k
L= Io
Lj = Lf
I 01 = I 202
m,X1 +m2x2
miy1+m2y2
X com =
Y com =
m1 +m2
m1 +m2
1
Transcribed Image Text:v2 Circular motion: ac = R Weight: Fg = mg,; g = 9.8 m/s²; Pavr = At Fnet = ma; 1 m v'; Potential energy: Ug = mgy 2 Kinetic energy: K = E = Er E = U+K 0 =2; v2 a, = Rotational motion: 1 rev = 27 rad; v = o r; a = a r; 2 O = 0o + at; 0 = 0o t + 2θα-ω?- 0 T=r x F; T= rFsin%; ET = Ia; 2 Ipoint mass = mr² Idisk = mR +Rin 2 1 1 2 Ihoop = mR? Irod(center) = mL² Irod(end) = mL? Iball = mR? Ishell = mR? 12 dW P = dt W Pavr = At I= Icom + MD? work: W =T 0; W = 2 2 K= Rolling: K = -Io 2 1 m Vcom Vcom = Ro 2. T= f,R Fs,max = H,Fn Incline: F= mgsin0 Fg=mgcos0 Angular momentum: Lpoint mass =m rxv L = mrvsin 0; L=m (r,Vy - ryVz)k L= Io Lj = Lf I 01 = I 202 m,X1 +m2x2 miy1+m2y2 X com = Y com = m1 +m2 m1 +m2 1
Wh
8. A disk with moment of inertia 2.0 kg m² is rotating. What torque is needed to give it an
acceleration of 3.0 rad/s?
а. 2
b. 3
C. 0.7
d. 6
e. 1.5
radi
nil vertically with its a
st whose cthe end is atteched sbove
The
and its angular accelon 20
What he tesion in the string
A mass of 1.0 kg pulls down vertically on a string that unwinds around a solid cylindrical
rod attached to a disk. The rod and the disk are concentric with a horizontal axis. Both the
disk and rod are uniform. The disk has a radius of 0.20 m and the rod has a radius of 0.01 m.
What is the torque, in N m, on the disk if the tension in the string is 0.50 N?
9.
a. 0.005
b. 0.098
с. 0.1
d. 0.2
e. 0.49
Transcribed Image Text:Wh 8. A disk with moment of inertia 2.0 kg m² is rotating. What torque is needed to give it an acceleration of 3.0 rad/s? а. 2 b. 3 C. 0.7 d. 6 e. 1.5 radi nil vertically with its a st whose cthe end is atteched sbove The and its angular accelon 20 What he tesion in the string A mass of 1.0 kg pulls down vertically on a string that unwinds around a solid cylindrical rod attached to a disk. The rod and the disk are concentric with a horizontal axis. Both the disk and rod are uniform. The disk has a radius of 0.20 m and the rod has a radius of 0.01 m. What is the torque, in N m, on the disk if the tension in the string is 0.50 N? 9. a. 0.005 b. 0.098 с. 0.1 d. 0.2 e. 0.49
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