Find the angle θ6 shown in the figure (Figure 4) in terms of θ1 and α....
Find the angle θ6 shown in the figure (Figure 4) in terms of θ1 and α. You will need to assume that θ4<90∘, as it appears in the picture.
Express your answer in degrees in terms of θ1 and α.
Homework Answers
The concept used here is laws of reflection.
Initially the relationship between 
, 
and 
will be establish by using the angle sum property of triangle and finally, calculate out the value of angle 
.
Laws of Reflection:
1.The angle of incidence is equal to the angle of reflection.
2.The incident ray, reflected ray and the normal to the reflecting surface all lie in the same plane.
The figure given below shows the arrangement of the mirrors and the path of light reflected on it.
Here, 
are the angles of incidence and 
are the angles of reflection.
From the figure,
Rearrange the above equation.
….. (1)
But, according to the laws of reflection,
Substitute 
for 
in equation (1).
Also, from the angle sum property of triangle, in
,
Substitute 
for 
in the above equation.
From the figure,
Rearrange the above equation.
But, according to the laws of reflection,
Substitute 
for 
in equation (2).
Substitute 
for 
in equation (3).
The value of angle is 
.
Add Answer to:
Find the angle θ6 shown in the figure (Figure 4) in
terms of θ1 and α....
Now, find the angle θ4 shown in the figure (Figure 3) in terms of θ1 and...
Now, find the angle θ4 shown in the figure (Figure 3)
in terms of θ1 and α.
Express your answer in degrees in terms of θ1 and
α.
What is the smallest angle θ1 for which a laser beam will undergo total internal reflection...
What is the smallest angle θ1 for which a laser beam will
undergo total internal reflection on the hypotenuse of the glass
prism in the figure?
Express your answer using two significant figures.
θ1 = ___ degrees
Find the magnitude of tension in the two cords shown in the figure (Figure 1) ....
Find the magnitude of tension in the two cords shown in the figure
(Figure 1) .
A) Neglect the mass of the cords, and assume
that the angle ? is 39 degrees and the mass m is
160 kg . What is the magnitude of the tension in the right
cord?
Express your answer using two significant figures and use the
following answer format: Fin right cord =______ N
B) What is the
magnitude of the tension in the left...
PartA Suppose that θ-58". (Figure 1) Determine the coordinate direction angle α of F1 Expeess your...
PartA Suppose that θ-58". (Figure 1) Determine the coordinate direction angle α of F1 Expeess your answer using three significant figures o 90.0 Figure <> 1011 (>) Submit Previous Answers Request Answer incorrect; Try Again: 4 attempts remaining Part B Determine the coordinate declin angle β of F1 Express your answer using three significant figures S00N Part C Determine the coordinate direction angle γ of F1 Express your answer using three significant figures of 120 45 Submit Request Answer
Two forces, F1 and F2, act at a point, as shown in the picture. (Figure 1)...
Two forces, F1 and F2, act at a point, as
shown in the picture. (Figure 1) F1 has a magnitude of
8.40 N and is directed at an angle of a = 59.0 ? above the
negative xaxis in the second quadrant. F2 has a
magnitude of 6.40 N and is directed at an angle of b =
54.1 ? below the negative x axis in the third
quadrant.
a) What is the x component Fx of the resultant
force? Express...
Constants A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore...
Constants A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a constant angular acceleration α. The flywheel is assumed to be at rest at time t=0 in Parts A and B of this problem. Find the time t1 it takes to accelerate the flywheel to ω1 if the angular acceleration is α. Express your answer in terms of ω1 and α t1 = ? Find the angle θ1 through which the flywheel will have...
Two forces, F⃗ 1 and F⃗ 2, act at a point, as shown in the picture....
Two forces, F⃗ 1 and F⃗ 2, act at a point, as shown in the picture. (Figure 1) F⃗ 1 has a magnitude of 9.00 N and is directed at an angle of α = 58.0 ∘ above the negative x axis in the second quadrant. F⃗ 2 has a magnitude of 7.00 N and is directed at an angle of β = 52.9 ∘ below the negative x axis in the third quadrant. PART A: What is the x...
Two forces, F⃗ 1 and F⃗ 2, act at a point, as shown in the picture....
Two forces, F⃗ 1 and F⃗ 2, act at a point, as shown in the picture. (Figure 1) F⃗ 1 has a magnitude of 8.00 N and is directed at an angle of α = 61.0 ∘∘ above the negative x axis in the second quadrant. F⃗ 2 has a magnitude of 5.20 N and is directed at an angle of β = 54.1 ∘∘ below the negative x axis in the third quadrant. What is the x component Fx...
Two forces, F? 1 and F? 2, act at a point, as shown in the picture....
Two forces, F? 1 and F? 2, act at a point, as
shown in the picture. (Figure 1) F? 1 has a magnitude of
9.20 N and is directed at an angle of ? = 65.0 ? above the
negative xaxis in the second quadrant. F? 2 has a
magnitudeof 5.80 N and is directed at an angle of ? = 53.9
? below the negative x axis in the third quadrant.
Part A
What is the x component Fx...
Now, find the angle θ4 shown in the figure (Figure 3)
in terms of θ1 and α.
Express your answer in degrees in terms of θ1 and
α.
What is the smallest angle θ1 for which a laser beam will
undergo total internal reflection on the hypotenuse of the glass
prism in the figure?
Express your answer using two significant figures.
θ1 = ___ degrees
Find the magnitude of tension in the two cords shown in the figure
(Figure 1) .
A) Neglect the mass of the cords, and assume
that the angle ? is 39 degrees and the mass m is
160 kg . What is the magnitude of the tension in the right
cord?
Express your answer using two significant figures and use the
following answer format: Fin right cord =______ N
B) What is the
magnitude of the tension in the left...
PartA Suppose that θ-58". (Figure 1) Determine the coordinate direction angle α of F1 Expeess your answer using three significant figures o 90.0 Figure <> 1011 (>) Submit Previous Answers Request Answer incorrect; Try Again: 4 attempts remaining Part B Determine the coordinate declin angle β of F1 Express your answer using three significant figures S00N Part C Determine the coordinate direction angle γ of F1 Express your answer using three significant figures of 120 45 Submit Request Answer
Two forces, F1 and F2, act at a point, as
shown in the picture. (Figure 1) F1 has a magnitude of
8.40 N and is directed at an angle of a = 59.0 ? above the
negative xaxis in the second quadrant. F2 has a
magnitude of 6.40 N and is directed at an angle of b =
54.1 ? below the negative x axis in the third
quadrant.
a) What is the x component Fx of the resultant
force? Express...
Two forces, F? 1 and F? 2, act at a point, as
shown in the picture. (Figure 1) F? 1 has a magnitude of
9.20 N and is directed at an angle of ? = 65.0 ? above the
negative xaxis in the second quadrant. F? 2 has a
magnitudeof 5.80 N and is directed at an angle of ? = 53.9
? below the negative x axis in the third quadrant.
Part A
What is the x component Fx...
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