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The angle of the inclination of wedge over which the block is sliding and is experiencing the kinetic friction is determined by which of the following trigonometric function?
- a)Tangent Inverse
- b)Cosine
- c)Sine
- d)Secant
Correct answer is option 'A'. Can you explain this answer?
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The angle of the inclination of wedge over which the block is sliding ...
The angle of the wedge over which the block is being slided is generally taken out by the help of the tangent inverse trigonometric function. Whether it may be the static or the kinetic friction, the ratio is the frictional force to the normal force. And this ratio is kept inside the inverse function.
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The angle of the inclination of wedge over which the block is sliding ...
The angle of inclination of the wedge over which the block is sliding and experiencing kinetic friction can be determined using the tangent inverse function.
Explanation:
1. Understanding the problem:
- A block is sliding on a wedge, which is inclined at an angle.
- The block is experiencing kinetic friction as it slides on the wedge.
- We need to determine the angle of inclination of the wedge.
2. Identifying the trigonometric function:
- The tangent inverse function, also known as the arctan function, is used to find the angle when we know the ratio of the opposite and adjacent sides.
- In this case, the ratio of the opposite side (height of the wedge) and the adjacent side (base of the wedge) can be used to find the angle.
3. Applying the tangent inverse function:
- Let's consider the height of the wedge as 'h' and the base of the wedge as 'b'.
- The ratio of the height to the base is given by h/b.
- We can use the tangent inverse function to find the angle: angle = tan^(-1)(h/b).
4. Example:
- Suppose the height of the wedge is 5 units and the base of the wedge is 10 units.
- The ratio of the height to the base is 5/10 = 0.5.
- Using the tangent inverse function, we can find the angle: angle = tan^(-1)(0.5) ≈ 26.57 degrees.
Conclusion:
The angle of inclination of the wedge over which the block is sliding and experiencing kinetic friction can be determined using the tangent inverse function. By knowing the ratio of the height to the base of the wedge, we can use the tangent inverse function to find the angle.
Explanation:
1. Understanding the problem:
- A block is sliding on a wedge, which is inclined at an angle.
- The block is experiencing kinetic friction as it slides on the wedge.
- We need to determine the angle of inclination of the wedge.
2. Identifying the trigonometric function:
- The tangent inverse function, also known as the arctan function, is used to find the angle when we know the ratio of the opposite and adjacent sides.
- In this case, the ratio of the opposite side (height of the wedge) and the adjacent side (base of the wedge) can be used to find the angle.
3. Applying the tangent inverse function:
- Let's consider the height of the wedge as 'h' and the base of the wedge as 'b'.
- The ratio of the height to the base is given by h/b.
- We can use the tangent inverse function to find the angle: angle = tan^(-1)(h/b).
4. Example:
- Suppose the height of the wedge is 5 units and the base of the wedge is 10 units.
- The ratio of the height to the base is 5/10 = 0.5.
- Using the tangent inverse function, we can find the angle: angle = tan^(-1)(0.5) ≈ 26.57 degrees.
Conclusion:
The angle of inclination of the wedge over which the block is sliding and experiencing kinetic friction can be determined using the tangent inverse function. By knowing the ratio of the height to the base of the wedge, we can use the tangent inverse function to find the angle.
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The angle of the inclination of wedge over which the block is sliding and is experiencing the kinetic friction is determined by which of the following trigonometric function?a)Tangent Inverseb)Cosinec)Sined)SecantCorrect answer is option 'A'. Can you explain this answer?
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