Problem 12: A box slides down a plank of length d that makes an angle of 0 with the horizontal, as shown. The kinetic and static coefficients of friction are μ and μs, respectively. Omin = = | Part (a) Enter an expression for the minimum angle at which the box, if initially at rest, will begin to slide. acotan(us) atan(us) cos(a) cos(p) cos(0) sin(a) sin(o) sin(0) Mk 0 α d g t Submit m Hint () 7 8 9 HOME ↑^^ 4 5 6 1 1 2 3 + 0 VO BACKSPACE DEL - . Feedback END CLEAR I give up! Feedback: 0% deduction per feedback. m 0 Hints: 0% deduction per hint. Hints remaining: 2 Part (b) Enter an expression for the nonconservative work done by kinetic friction as the block slides down the plank. Assume the box starts from rest, and is large enough that it will slide down the plank. the angle Part (c) For a plank of any length, at what angle, in degrees, will the final speed of the box at the bottom of the plank be 0.51 times the final speed of the box when there is no friction present? Assume k = 0.39.

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Problem 12: A box slides down a plank of length d that makes an angle of 0 with the
horizontal, as shown. The kinetic and static coefficients of friction are µk and us, respectively.
Omin = 1
Part (a) Enter an expression for the minimum angle at which the box, if initially at rest, will begin to slide.
^^^ 4
acotan(us) atan(us) cos(a) ( ) 7 8 9
cos(p) cos(0) sin(a)
5 6
sin(o) sin(0)
0
α
1
2 3
Mk
d
t
Hints: 0% deduction per hint. Hints remaining: 2
Submit
m
Hint
+
*
0
BACKSPACE DEL
HOME
Feedback
END
CLEAR
I give up!
Feedback: 0% deduction per feedback.
m
0
Part (b) Enter an expression for the nonconservative work done by kinetic friction as the block slides down the plank. Assume the box starts from rest, and
is large enough that it will slide down the plank.
the angle
Part (c) For a plank of any length, at what angle, in degrees, will the final speed of the box at the bottom of the plank be 0.51 times the final speed of the
box when there is no friction present? Assume μ = 0.39.
Transcribed Image Text:Problem 12: A box slides down a plank of length d that makes an angle of 0 with the horizontal, as shown. The kinetic and static coefficients of friction are µk and us, respectively. Omin = 1 Part (a) Enter an expression for the minimum angle at which the box, if initially at rest, will begin to slide. ^^^ 4 acotan(us) atan(us) cos(a) ( ) 7 8 9 cos(p) cos(0) sin(a) 5 6 sin(o) sin(0) 0 α 1 2 3 Mk d t Hints: 0% deduction per hint. Hints remaining: 2 Submit m Hint + * 0 BACKSPACE DEL HOME Feedback END CLEAR I give up! Feedback: 0% deduction per feedback. m 0 Part (b) Enter an expression for the nonconservative work done by kinetic friction as the block slides down the plank. Assume the box starts from rest, and is large enough that it will slide down the plank. the angle Part (c) For a plank of any length, at what angle, in degrees, will the final speed of the box at the bottom of the plank be 0.51 times the final speed of the box when there is no friction present? Assume μ = 0.39.
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