Answered: N, F2 = 9.1 N, F3 = 2.4 N. ind the… | bartleby

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Question

Three forces are applied on a triangular plate. Assume F1 = 6.5 N, F2 = 9.1 N, F3 = 2.4 N.
If the rotational inertia about point O of the plate is 5.6 kgm2, find the angular acceleration in rad/s² of the plate about the point O.
30°
A
1.00 m
0.60 m
F2
45°/0
0.80 m
F3

Expert Solution

Step 1

Given:

$F_{1} = 6.5 N$

$F_{2} = 9.1 N$

$F_{3} = 2.4 N$

The rotational inertia about point O is $I_{0} = 5.6 k g m^{2}$

Step 2

About point O,

Since $F_{3}$ passes through the point O,

Torque of $F_{3} = 0 N . m$

On calculating the torque of $F_{2}$ as follows,

Torque of $F_{2} = O B \times F_{2}$

$\Rightarrow 0.80 \times 9.1 = 7.28 N . m$

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