5. A person is on a circular carnival ride with an axis parallel to the ground. It makes her feel heavy at the bottom and weightless at the top. Her centripetal acceleration is constant. What is its value? a. 0 b. 2.4 C. 4.9 ins2.0 kis roat What d. 20 e. 9.8 A small ball is rotating in a circular horizontal path. The ball is held by a rigid rod. The moment of inertia of the ball is 2.43 kg m? and its angular rate of rotation is 4.00 rad/s. What is the kinetic energy of the ball in Joules? 6. a. 21 b. 19.4 C. 4.9 d. 58.2 e. 38.9 7. A small ball is rotating in a circular path on a massless, rigid wire about a vertical post. The Lito dictance from the stick is 1.2 m. What is the moment of pledge that I have not violated the provisions of the NJIT Academic Honor Code. The exam is closed book and closed notes. W Pavr = At Circular motion: a, = R Fnet = ma; Weight: Fg= mg,; g = 9.8 m/s²; Kinetic energy: K = 1 m v²; Potential energy: Ug = mgy E = E E = U+K v? 1 rev = 27 rad; v = o r; a, = = o°r; Rotational motion: at = a r; e = 0o t + 20a = m? - wo? K= Io 2 T=r x F; T= rFsino; 0 = 0o + at; 2 1 2 mR 2 Στ-Ια; Ipoint mass = mr? Iaisk = -mR + R. 1 2 Ishell = mR? 3 Ihoop = mR? Irod(center) = -mL? Irod(end) = mL² Iball = -mR? 12 work: W=r 0; K=-lo 2 dW P = dt W Pavr = At I= Icom + MD? W = Rolling: Im 2+ 1 m Vcom 2 Vcom = Ro K = T= f,R F,max = H,Fn Incline: Fe= mgsin0 F= mgcos0 Angular momentum: Lpoint mass L= mrvsin 0; L=m (r,vy - ryvz)k m rxv L= I@ LI = Lr I 01 =I 202 m,X1 +m2x2 mıyı+m2y2 X com = Y com = m¡ +m2 m1 +m2 1
5. A person is on a circular carnival ride with an axis parallel to the ground. It makes her feel heavy at the bottom and weightless at the top. Her centripetal acceleration is constant. What is its value? a. 0 b. 2.4 C. 4.9 ins2.0 kis roat What d. 20 e. 9.8 A small ball is rotating in a circular horizontal path. The ball is held by a rigid rod. The moment of inertia of the ball is 2.43 kg m? and its angular rate of rotation is 4.00 rad/s. What is the kinetic energy of the ball in Joules? 6. a. 21 b. 19.4 C. 4.9 d. 58.2 e. 38.9 7. A small ball is rotating in a circular path on a massless, rigid wire about a vertical post. The Lito dictance from the stick is 1.2 m. What is the moment of pledge that I have not violated the provisions of the NJIT Academic Honor Code. The exam is closed book and closed notes. W Pavr = At Circular motion: a, = R Fnet = ma; Weight: Fg= mg,; g = 9.8 m/s²; Kinetic energy: K = 1 m v²; Potential energy: Ug = mgy E = E E = U+K v? 1 rev = 27 rad; v = o r; a, = = o°r; Rotational motion: at = a r; e = 0o t + 20a = m? - wo? K= Io 2 T=r x F; T= rFsino; 0 = 0o + at; 2 1 2 mR 2 Στ-Ια; Ipoint mass = mr? Iaisk = -mR + R. 1 2 Ishell = mR? 3 Ihoop = mR? Irod(center) = -mL? Irod(end) = mL² Iball = -mR? 12 work: W=r 0; K=-lo 2 dW P = dt W Pavr = At I= Icom + MD? W = Rolling: Im 2+ 1 m Vcom 2 Vcom = Ro K = T= f,R F,max = H,Fn Incline: Fe= mgsin0 F= mgcos0 Angular momentum: Lpoint mass L= mrvsin 0; L=m (r,vy - ryvz)k m rxv L= I@ LI = Lr I 01 =I 202 m,X1 +m2x2 mıyı+m2y2 X com = Y com = m¡ +m2 m1 +m2 1
5. A person is on a circular carnival ride with an axis parallel to the ground. It makes her feel heavy at the bottom and weightless at the top. Her centripetal acceleration is constant. What is its value? a. 0 b. 2.4 C. 4.9 ins2.0 kis roat What d. 20 e. 9.8 A small ball is rotating in a circular horizontal path. The ball is held by a rigid rod. The moment of inertia of the ball is 2.43 kg m? and its angular rate of rotation is 4.00 rad/s. What is the kinetic energy of the ball in Joules? 6. a. 21 b. 19.4 C. 4.9 d. 58.2 e. 38.9 7. A small ball is rotating in a circular path on a massless, rigid wire about a vertical post. The Lito dictance from the stick is 1.2 m. What is the moment of pledge that I have not violated the provisions of the NJIT Academic Honor Code. The exam is closed book and closed notes. W Pavr = At Circular motion: a, = R Fnet = ma; Weight: Fg= mg,; g = 9.8 m/s²; Kinetic energy: K = 1 m v²; Potential energy: Ug = mgy E = E E = U+K v? 1 rev = 27 rad; v = o r; a, = = o°r; Rotational motion: at = a r; e = 0o t + 20a = m? - wo? K= Io 2 T=r x F; T= rFsino; 0 = 0o + at; 2 1 2 mR 2 Στ-Ια; Ipoint mass = mr? Iaisk = -mR + R. 1 2 Ishell = mR? 3 Ihoop = mR? Irod(center) = -mL? Irod(end) = mL² Iball = -mR? 12 work: W=r 0; K=-lo 2 dW P = dt W Pavr = At I= Icom + MD? W = Rolling: Im 2+ 1 m Vcom 2 Vcom = Ro K = T= f,R F,max = H,Fn Incline: Fe= mgsin0 F= mgcos0 Angular momentum: Lpoint mass L= mrvsin 0; L=m (r,vy - ryvz)k m rxv L= I@ LI = Lr I 01 =I 202 m,X1 +m2x2 mıyı+m2y2 X com = Y com = m¡ +m2 m1 +m2 1
Use formulas from a page provided here
No 4,5,6 please step by step
No 4
4. A car goes around a curve and then around another curve. It experiences a centripetal force
F1 going around the curve with radius 2R at a speed v. It then experiences a centripetal force
F2 going around the second curve with radius 6R at a speed 3v. What is the ratio of the
centripetal forces, F1/F2?
a. 0.33
b. 0.75
Transcribed Image Text:5. A person is on a circular carnival ride with an axis parallel to the ground. It makes her feel
heavy at the bottom and weightless at the top. Her centripetal acceleration is constant. What
is its value?
a. 0
b. 2.4
C. 4.9
ins2.0 kis roat What
d. 20
e. 9.8
A small ball is rotating in a circular horizontal path. The ball is held by a rigid rod. The
moment of inertia of the ball is 2.43 kg m? and its angular rate of rotation is 4.00 rad/s.
What is the kinetic energy of the ball in Joules?
6.
a. 21
b. 19.4
C. 4.9
d. 58.2
e. 38.9
7. A small ball is rotating in a circular path on a massless, rigid wire about a vertical post. The
Lito dictance from the stick is 1.2 m. What is the moment of
Transcribed Image Text:pledge that I have not violated the provisions of the NJIT Academic Honor Code.
The exam is closed book and closed notes.
W
Pavr =
At
Circular motion: a, =
R
Fnet = ma;
Weight: Fg= mg,;
g = 9.8 m/s²;
Kinetic energy: K =
1
m v²; Potential energy: Ug = mgy
E = E
E = U+K
v?
1 rev = 27 rad;
v = o r;
a, =
= o°r;
Rotational motion:
at = a r;
e = 0o t +
20a = m? - wo?
K=
Io
2
T=r x F;
T= rFsino;
0 = 0o + at;
2
1
2
mR
2
Στ-Ια;
Ipoint mass = mr?
Iaisk = -mR
+ R.
1
2
Ishell = mR?
3
Ihoop = mR?
Irod(center) =
-mL?
Irod(end) = mL²
Iball = -mR?
12
work: W=r 0; K=-lo 2
dW
P =
dt
W
Pavr =
At
I= Icom + MD?
W =
Rolling:
Im 2+
1
m Vcom
2
Vcom = Ro
K =
T= f,R
F,max = H,Fn
Incline: Fe= mgsin0 F= mgcos0
Angular momentum:
Lpoint mass
L= mrvsin 0;
L=m (r,vy - ryvz)k
m rxv
L= I@
LI = Lr
I 01 =I 202
m,X1 +m2x2
mıyı+m2y2
X com =
Y com =
m¡ +m2
m1 +m2
1
Definition Definition Force on a body along the radial direction. Centripetal force is responsible for the circular motion of a body. The magnitude of centripetal force is given by F C = m v 2 r m = mass of the body in the circular motion v = tangential velocity of the body r = radius of the circular path
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