Question

A uniform rod AB remains in equilibrium position resting on a smooth inclined planes
AC and BC, which are at an angle of 90° as shown in figure given below

If the plane BC makes an angle of α with the horizontal, then what is the inclination θ of
the rod AB with the plane AC.

Answer 1

Answer:

then what is the inclination θ of

the rod AB with the plane AC.

Answer 2

The inclination θ of the rod AB with the plane AC is 90°-α

• A uniform rod AB remains in equilibrium position resting on smooth inclined planes AC and BC, which are at an angle of 90° and the plane BC makes an angle of α with the horizontal

• The sum of all angles in the triangle is equal to 180°
• lets assume the inclination of the rod AB with the plane AC is x
  (as shown in the figure)

Therefore equation will be written as:

90°+α+x=180°

x=90°-α

therefore the inclination of the rod AB with the plane AC is 90°-α

Hence the inclination θ of the rod AB with the plane AC is 90°-α

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