# -what is the magnitude of tension in the rope? -find the horizontal and vertical components of the force exerted at A on the lamina by the wall.

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A uniform triangular lamina ABC is right-angled at B and has sides

AB = 0.6 m and BC = 0.8 m. The mass of the lamina is 4 kg. One end of a light

inextensible rope is attached to the lamina at C. The other end of the rope is

attached to a fixed point D on a vertical wall. The lamina is in equilibrium

with A in contact with the wall at a point vertically below D. The lamina is in

a vertical plane perpendicular to the wall, and AB is horizontal. The rope is

taut and at right angles to AC

Find

(i) the tension in the rope,

(ii) the horizontal and vertical components of the force exerted at A on the

lamina by the wall.

A uniform triangular lamina ABC is right-angled at B and has sides

AB = 0.6 m and BC = 0.8 m. The mass of the lamina is 4 kg. One end of a light

inextensible rope is attached to the lamina at C. The other end of the rope is

attached to a fixed point D on a vertical wall. The lamina is in equilibrium

with A in contact with the wall at a point vertically below D. The lamina is in

a vertical plane perpendicular to the wall, and AB is horizontal. The rope is

taut and at right angles to AC

Find

(i) the tension in the rope,

(ii) the horizontal and vertical components of the force exerted at A on the

lamina by the wall.

##### 1 Answer

See below.

#### Explanation:

For a homogeneous lamina, the triangle's center of mass is given by

Now momentum equilibrium

and static resultant equilibrium

Here

After substituting values on

giving

or