Question

Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure. A vertical force `vec"P"` of magnitude 100 N is applied at point A of the frame.

Suppose the force is `vec"P"` resolved parallel to the arms AB and AC of the frame.

The magnitude of the resolved component along the arm AC is xN.

The value of x, to the nearest integer, is ______.

[Given: sin(35°) = 0.573, cos(35°) = 0.819, sin(110°) = 0.939, cos(110°) = –0.342]

Options

• 72

• 82

• 80

• 70

Answer 1

82

Explanation:

The component of P along AC is P cos35°.

Given: P = 100 N and cos35° = 0.819

The magnitude of force along the arm AC,

F_AC = P cos35°

= 100 × 0.819 N

= 81.9 N

≈ 82N