A box of mass m = 50 kg is at rest on a level floor. In order to move it, two methods can be applied: one is by pushing the box down at an angle with the horizontal, and the other is to pull it up at an angle with the horizontal. [The coefficient of static friction between the box and the floor is u = 0.6. Please use e as symbol for the angle with the horizontal.] (a) Explain if one method is better than the other. Please use physical arguments, not mere intuitions. (b) Find F(m, µ, 0), the force necessary to move the box as a function of m, u and e. (c) Verify your answer to (a) by calculating the force F(m, u, 6) for each method when |0| = 10°. Comment on the comparison with the result when e = 0°. (d) Find the angle 8m which minimises F(m, u, 8). Please use analytical methods.
A box of mass m = 50 kg is at rest on a level floor. In order to move it, two methods can be applied: one is by pushing the box down at an angle with the horizontal, and the other is to pull it up at an angle with the horizontal. [The coefficient of static friction between the box and the floor is u = 0.6. Please use e as symbol for the angle with the horizontal.] (a) Explain if one method is better than the other. Please use physical arguments, not mere intuitions. (b) Find F(m, µ, 0), the force necessary to move the box as a function of m, u and e. (c) Verify your answer to (a) by calculating the force F(m, u, 6) for each method when |0| = 10°. Comment on the comparison with the result when e = 0°. (d) Find the angle 8m which minimises F(m, u, 8). Please use analytical methods.
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![4.
A box of mass m = 50 kg is at rest on a level floor. In order to move it, two methods
can be applied: one is by pushing the box down at an angle with the horizontal, and
the other is to pull it up at an angle with the horizontal.
[The coefficient of static friction between the box and the floor is u = 0.6. Please use
O as symbol for the angle with the horizontal.]
(a)
Explain if one method is better than the other. Please use physical arguments,
not mere intuitions.
(b)
Find F(m, µ, 6), the force necessary to move the box as a function of m, u and
e.
(c)
Verify your answer to (a) by calculating the force F(m, u, 0) for each method
when 10| = 10°. Comment on the comparison with the result when 0 = 0°.
(d)
Find the angle 8m which minimises F(m, µ, 0). Please use analytical methods.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F874107fb-633b-4094-9f9e-2f06b7fe2b7b%2Fbf9c6e73-fcc8-4b96-9660-575afe99d681%2Fv3qkjte_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.
A box of mass m = 50 kg is at rest on a level floor. In order to move it, two methods
can be applied: one is by pushing the box down at an angle with the horizontal, and
the other is to pull it up at an angle with the horizontal.
[The coefficient of static friction between the box and the floor is u = 0.6. Please use
O as symbol for the angle with the horizontal.]
(a)
Explain if one method is better than the other. Please use physical arguments,
not mere intuitions.
(b)
Find F(m, µ, 6), the force necessary to move the box as a function of m, u and
e.
(c)
Verify your answer to (a) by calculating the force F(m, u, 0) for each method
when 10| = 10°. Comment on the comparison with the result when 0 = 0°.
(d)
Find the angle 8m which minimises F(m, µ, 0). Please use analytical methods.
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can you please answer part d as that was the part I really needed help with
thank you
![4.
A box of mass m = 50 kg is at rest on a level floor. In order to move it, two methods
can be applied: one is by pushing the box down at an angle with the horizontal, and
the other is to pull it up at an angle with the horizontal.
[The coefficient of static friction between the box and the floor is u = 0.6. Please use
O as symbol for the angle with the horizontal.]
(a)
Explain if one method is better than the other. Please use physical arguments,
not mere intuitions.
(b)
Find F(m, µ, 6), the force necessary to move the box as a function of m, u and
e.
(c)
Verify your answer to (a) by calculating the force F(m, u, 0) for each method
when 10| = 10°. Comment on the comparison with the result when 0 = 0°.
(d)
Find the angle 8m which minimises F(m, µ, 0). Please use analytical methods.](https://content.bartleby.com/qna-images/question/874107fb-633b-4094-9f9e-2f06b7fe2b7b/d69f441d-46ea-49b2-bc9a-6ba12865ad91/bf61dtpm_processed.jpeg)
Transcribed Image Text:4.
A box of mass m = 50 kg is at rest on a level floor. In order to move it, two methods
can be applied: one is by pushing the box down at an angle with the horizontal, and
the other is to pull it up at an angle with the horizontal.
[The coefficient of static friction between the box and the floor is u = 0.6. Please use
O as symbol for the angle with the horizontal.]
(a)
Explain if one method is better than the other. Please use physical arguments,
not mere intuitions.
(b)
Find F(m, µ, 6), the force necessary to move the box as a function of m, u and
e.
(c)
Verify your answer to (a) by calculating the force F(m, u, 0) for each method
when 10| = 10°. Comment on the comparison with the result when 0 = 0°.
(d)
Find the angle 8m which minimises F(m, µ, 0). Please use analytical methods.
Solution
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