Question

If you ignore the friction, the amount of time required for a box to slide down an inclined plane is √(2a/g•sin(theta)•cos(theta)), where a is the horizontal distance defined by the inclined plane, g is the acceleration due to gravity and theta is the angle of the inclined plane. For what values of theta is the expression undefined?
A. 0°
B. 90°
C. Both A and B
D. None

Answer 1

Given:

The time required for a box to slide down an inclined plane is

$T = \sqrt{\frac{2a}{g(sin\theta cos\theta)} }$

where,

g be the,acceleration due to gravity.

$\theta$ be the inclined plane.

To find the value of $\theta$ for which the given expression is undefined.

Now,

T will be undefined if the denominator is 0.

⇒ $g(sin \theta cos \theta) = 0$

or, $sin\theta cos\theta = 0$ [ g ≠ 0 it is a constant]

either $sin\theta = 0$ or $cos\theta = 0$

For, $sin\theta = 0$ ⇒ $\theta = 0^\circ$

Again,

For, $cos\theta = 0$ ⇒ $\theta = 90^\circ$

Hence,

The expression will be undefined for the value of 0° and 90° of θ.

Option C.

Answer 2

Answer:

c both a and b

Step-by-step explanation:

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