A small object hangs from a string attached to the rearview mirror of your car that is accelerating at a rate of ax = 1.10 m/s2. (Consider a tension in the string T, a weight of the object W, and an angle 0 that the string makes with the vertical.) Coordinate system: +x is right; +y is up. Let's trace all forces acting on this object before finding the angle 0 the string makes with respect to the vertical. (0

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...
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A small object hangs from a string attached to the rearview mirror of your car that is accelerating at a rate of ax = 1.10 m/s2. (Consider a tension in the string T, a weight of the object W, and an angle 0 that the string makes with the vertical.) Coordinate system: +x is right; +y is up. Let's trace all forces acting on this object before finding the angle 0 the string makes with respect to the vertical. (0 means the theta symbol)!     

1) What is the magnitude of the tension in the string in the x-direction (Tx)?

Group of answer choices:

A) Tarctan0

B) Tcos0

C) Ttan0

D) Tsin0 

2)What is the sum of the forces in the x-direction?

Group of answer choices:

A) max

B) mg

C) may

D) 0 

3)What is the magnitude of the tension in the string in the y-direction (Ty)?

Group of answer choices:

A)Ttan0

B)Tcos0

C)Tsin0

D)Tarctan0 

4) What force counteracts Ty to satisfy Newton's third law?

Group of answer choices:

A)Wy

B)0

C)Wx

D)

5) What is the sum of the forces in the y-direction?

Group of answer choices:

A)0

B)mg

C)may

D)max

6) How is the tension defined in the x-direction?

Group of answer choices:

A)max/arctan0

B)max/sin0

C)mg/tan0

D)max/cos0 

7) How is the tension defined in the y-direction?

Group of answer choices:

A)may/tan0

B)mg/cos0

C)may/arctan0

D)may/sin0 

8) What angle 0 does the string make with respect to the vertical?

Group of answer choices:

A)6.4 degrees

B)45.0 degrees

C)0

D)83.6 degrees

 

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ISBN:
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