Question

A thin rectangular plate (dimensions: a = 4 m and b = 3 m) is free to rotate about a fixed axis at point P ; the plate's moment of inertia is 375 kgm². Two forces F? (720 N ; ?? = 36.87°) and F? (480 N ; ?? = 53.13°) act on the plate in the directions shown. In addition to the forces F? and F? there is also a frictional torque of 120 Nm acting on the plate at point P ; at the instant shown, what is the magnitude of the plate's angular acceleration (in rad/sec²) about the axis at point P? a. 1.216 b. 1.984 c. 3.520 d. 1.856 e. 2.752

          A thin rectangular plate (dimensions: a = 4 m and b = 3 m) is free to rotate about a fixed axis at point P ; the plate's moment of inertia is 375 kgm².
Two forces F? (720 N ; ?? = 36.87°) and F? (480 N ; ?? = 53.13°) act on the plate in the directions shown.
In addition to the forces F? and F? there is also a frictional torque of 120 Nm acting on the plate at point P ; at the instant shown, what is the magnitude of the plate's angular acceleration (in rad/sec²) about the axis at point P?
a. 1.216
b. 1.984
c. 3.520
d. 1.856
e. 2.752

Show more…

A thin rectangular plate (dimensions: a = 4 m and b = 3 m) is free to rotate about a fixed axis at point P ; the plate's moment of inertia is 375 kgm².
Two forces F? (720 N ; ?? = 36.87°) and F? (480 N ; ?? = 53.13°) act on the plate in the directions shown.
In addition to the forces F? and F? there is also a frictional torque of 120 Nm acting on the plate at point P ; at the instant shown, what is the magnitude of the plate's angular acceleration (in rad/sec²) about the axis at point P?
a. 1.216
b. 1.984
c. 3.520
d. 1.856
e. 2.752

Added by Yvonne B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

08/16/2023

Step 1

The torque is given by the formula: $\tau = rF\sin\theta$ For force F, the distance r from the axis is 3m, and the angle $\theta_1 = 36.879^\circ$. So the torque produced by force F is: $\tau_F = 3 \times 720 \times \sin(36.879^\circ)$ For force E, the Show more…

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A thin rectangular plate (dimensions: a = 4 m and b = 3 m) is free to rotate about a fixed axis at point P; the plate's moment of inertia is 375 kgm². Two forces F₁ (720 N; θ₁ = 36.87°) and F₂ (480 N; θ₂ = 53.13°) act on the plate in the directions shown. In addition to the forces F₁ and F₂ there is also a frictional torque of 120 Nm acting on the plate at point P; at the instant shown, what is the magnitude of the plate's angular acceleration (in rad/sec²) about the axis at point P? a. 1.216 b. 1.984 c. 3.520 d. 1.856 e. 2.752

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