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choi (tc29389) - Phys1 6SW6Wk5 0517b - sabapathy - (6896-(Answered)

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Question

I need help on question #17 please:

Three strings (labeled A, B, and C) attached
to the sides of a square box are tied together
by a knot as shown in the figure. The tension
in the string labeled C is 64 N.

Calculate the magnitude of the tension in
the string marked A.


choi (tc29389) ? Phys1 6SW6Wk5 0517b ? sabapathy ? (6896 1)

 


 

1

 


 

This print-out should have 20 questions.

 

Multiple-choice questions may continue on

 

the next column or page ? find all choices

 

before answering.

 


 

R

 

?

 


 

001 10.0 points

 

A bowling ball has a mass of 4.7 kg, a moment

 

of inertia of 0.067868 kg ? m2 , and a radius of

 

0.19 m. It rolls along the lane without slipping

 

at a linear speed of 3.9 m/s.

 

What is the total kinetic energy of the

 

rolling ball?

 

Answer in units of J.

 


 

I

 


 

T1

 


 

T2

 


 

m1

 

?

 


 

m2

 


 

003 (part 1 of 2) 10.0 points

 

A dentist?s drill starts from rest. After 3.87 s

 

of constant angular acceleration, it turns at a

 

rate of 25700 rev/min.

 

Find the drill?s angular acceleration.

 

Answer in units of rad/s2 .

 

004 (part 2 of 2) 10.0 points

 

Find the angle through which the drill rotates

 

during this period.

 

Answer in units of rad.

 

005 (part 1 of 2) 10.0 points

 

An Atwood machine is constructed using a

 

disk of moment of inertia I. The masses are

 

m1 and m2 with m1 > m2 .

 


 

m2 g

 


 

m2

 


 

m1 g

 


 

a

 


 

m1

 


 

a

 


 

T1

 


 

002 10.0 points

 

The center of mass of a pitched baseball or

 

radius 1.92 cm moves at 49.7 m/s. The ball

 

spins about an axis through its center of mass

 

with an angular speed of 51.4 rad/s.

 

Calculate the ratio of the rotational energy

 

to the translational kinetic energy. Treat the

 

ball as a uniform sphere.

 


 

T2

 


 

Consider the free body diagrams

 


 

and the following set of equations, where all

 

variables are positive.

 

I: m1 g ? T1 = m1 a

 

J : T1 ? m1 g = m1 a

 

K: T1 = m1 a

 

X : m2 g ? T2 = m2 a

 

Y: T2 ? m2 g = m2 a

 

Z: T2 = m2 a

 

a

 

R

 

a

 

B: (T1 ? T2 ) R = I

 

R

 

C: (T2 ? T1 ) R = I a

 

D: (T1 ? T2 ) R = I a Choose the correct

 

set of equations of motion.

 

A: (T2 ? T1 ) R = I

 


 

1. K,

 


 

Z,

 


 

and

 


 

C

 


 

2. I,

 


 

X , and

 


 

B

 


 

3. K,

 


 

Z,

 


 

and

 


 

A

 


 

4. J ,

 


 

Y, and

 


 

B

 


 

5. J ,

 


 

Y, and

 


 

A

 


 

choi (tc29389) ? Phys1 6SW6Wk5 0517b ? sabapathy ? (6896 1)

 

6. I,

 


 

X , and

 


 

A

 


 

7. I,

 


 

X , and

 


 

D

 


 

2

 


 

ABCDE F G

 


 

10 20 30 40 50 60

 

8. I,

 


 

X , and

 


 

C

 


 

9. K,

 


 

Z, and

 


 

B

 


 

10. I,

 


 

Y, and

 


 

B

 


 

006 (part 2 of 2) 10.0 points

 

Let the mass on the left be 7.39 kg, the

 

mass on the right 4.99 kg, the acceleration

 

1.34889 m/s2 and the radius of the pulley

 

0.1 m.

 

Determine the magnitude of the torque exerted on the pulley. The acceleration of gravity is 9.8 m/s2 .

 

Answer in units of N ? m.

 

007 10.0 points

 

Three forces act on an object.

 

If the object is in translational equilibrium,

 

which of the following must be true?

 

I. The vector sum of the three forces must

 

equal zero;

 

II. The magnitude of the three forces must

 

be equal;

 

III. The three forces must be parallel.

 

1. II only

 


 

21 kg

 


 

28 kg

 


 

If the mass of the stick is negligible, at

 

which of the points indicated should a cord be

 

attached if the stick is to remain horizontal

 

when suspended from the cord?

 

1. D

 

2. A

 

3. F

 

4. B

 

5. E

 

6. C

 

7. G

 

009 (part 1 of 2) 10.0 points

 

Consider the 650 N weight held by two cables

 

shown below. The left-hand cable had tension

 

T and makes an angle of ? with the wall. The

 

right-hand cable had tension 800 N and makes

 

an angle of 33? with the ceiling.

 


 

2. II and III only

 

3. I only

 

4. I, II and III

 

5. I and III only

 

008 10.0 points

 

Two objects of masses 21 kg and 28 kg are

 

hung from the ends of a stick that is 70 cm

 

long and has marks every 10 cm, as shown.

 


 

T

 


 

?

 


 

33

 


 

80

 


 

0N

 


 

?

 

650 N

 

a) What is the tension T in the left-hand

 

cable slanted at an angle of ? with respect to

 

the wall?

 

Answer in units of N.

 

010 (part 2 of 2) 10.0 points

 

b) What is the angle ? which the left-hand

 

cable makes with respect to the wall?

 


 

choi (tc29389) ? Phys1 6SW6Wk5 0517b ? sabapathy ? (6896 1)

 

Answer in units of ? .

 

011 10.0 points

 

A wheel rotating with a constant angular acceleration turns through 10 revolutions during

 

a 5 s time interval. Its angular velocity at the

 

end of this interval is 18 rad/s.

 

What is the angular acceleration of the

 

wheel? Note that the initial angular velocity is not zero.

 

Answer in units of rad/s2 .

 

012 (part 1 of 3) 10.0 points

 

A string is wound around a uniform disc

 

whose mass is 2.7 kg and radius is 0.29 m ,

 

see figure below. The disc is released from

 

rest with the string vertical and its top end

 

tied to a fixed support.

 

The acceleration of gravity is 9.8 m/s2 .

 


 

h

 


 

0.29 m

 

?

 

2.7 kg

 


 

As the disc descends, calculate the tension

 

in the string.

 

Answer in units of N.

 

013 (part 2 of 3) 10.0 points

 

Calculate the magnitude of the acceleration

 

of its center of mass.

 


 

015 10.0 points

 

A 96 N block rests on a table. The suspended mass has a weight of 32 N.

 

96 N

 

?s

 


 

32 N

 

What frictional force is required to keep the

 

blocks from moving?

 

Answer in units of N.

 

016 10.0 points

 

A rotating wheel requires 4 s to rotate through

 

19.3 rev. Its angular speed at the end of the

 

4 s interval is 119.7 rad/s.

 

What is its constant angular acceleration?

 

Assume the angular acceleration has the same

 

sign as the angular velocity.

 

Answer in units of rad/s2 .

 

017 10.0 points

 

Three strings (labeled A, B, and C) attached

 

to the sides of a square box are tied together

 

by a knot as shown in the figure. The tension

 

in the string labeled C is 64 N.

 

Three Strings Knotted Together

 

10

 

9

 


 

1. acm = 6.53333 m/s2

 


 

3. acm = 5.684 m/s2

 

4. acm = 5.94533 m/s2

 

014 (part 3 of 3) 10.0 points

 

After starting from rest, calculate the speed

 

of its center of mass when the center of mass

 

has fallen ?h = 2.7 m.

 

Answer in units of m/s.

 


 

8

 

y Distance (m)

 


 

2. acm = 7.252 m/s2

 


 

3

 


 

B

 


 

7

 


 

TB

 


 

6

 

5

 

C

 


 

4

 


 

64 N

 


 

A

 


 

3

 

2

 


 

TA

 


 

1

 

0

 


 

0

 


 

1

 


 

2

 


 

3 4 5 6 7

 

x Distance (m)

 


 

8

 


 

9 10

 


 

choi (tc29389) ? Phys1 6SW6Wk5 0517b ? sabapathy ? (6896 1)

 

Figure: Drawn to scale.

 

Calculate the magnitude of the tension in

 

the string marked A.

 

Answer in units of N. Your answer must

 

be within ? 3.0%

 

018 10.0 points

 

At t = 0, a wheel rotating about a fixed axis at

 

a constant angular deceleration of 0.8 rad/s2

 

has an angular velocity of 2.2 rad/s and an

 

angular position of 9.2 rad.

 

What is the angular position of the wheel

 

after 2 s?

 

Answer in units of rad.

 


 

F

 


 

6. 9

 


 

?

 


 

N

 


 

019 (part 1 of 2) 10.0 points

 

The 9.5 N weight is in equilibrium under the

 

influence of the three forces acting on it. The

 

F force acts from above on the left at an angle

 

of ? with the horizontal. The 6.9 N force acts

 

from above on the right at an angle of 64? with

 

the horizontal. The force 9.5 N acts straight

 

down.

 


 

?

 


 

64

 


 

9.5 N

 

What is the magnitude of the force F ?

 

Answer in units of N.

 

020 (part 2 of 2) 10.0 points

 

What is the angle ? of the force F as shown

 

in the figure?

 

Answer in units of ? .

 


 

4

 


 

 

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