ou push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 79.5 kg, and its side-to-side width is 2.03 m. The knob is located 0.14 m from the right-hand side of the door. If you push with a force of 115 N, what will the be the door s angular acceleration as it swings on its hinges? (Note: the moment of inertia of the door of mass M and width x, swinging on its hinges, is (1/3) M x^2.)
ou push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 79.5 kg, and its side-to-side width is 2.03 m. The knob is located 0.14 m from the right-hand side of the door. If you push with a force of 115 N, what will the be the door s angular acceleration as it swings on its hinges? (Note: the moment of inertia of the door of mass M and width x, swinging on its hinges, is (1/3) M x^2.)
ou push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 79.5 kg, and its side-to-side width is 2.03 m. The knob is located 0.14 m from the right-hand side of the door. If you push with a force of 115 N, what will the be the door s angular acceleration as it swings on its hinges? (Note: the moment of inertia of the door of mass M and width x, swinging on its hinges, is (1/3) M x^2.)
You push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 79.5 kg, and its side-to-side width is 2.03 m. The knob is located 0.14 m from the right-hand side of the door. If you push with a force of 115 N, what will the be the door s angular acceleration as it swings on its hinges? (Note: the moment of inertia of the door of mass M and width x, swinging on its hinges, is (1/3) M x^2.)
Transcribed Image Text:**For Question 10:**
**Diagram Explanation:**
The diagram showcases a scenario involving a lever and a hinge. Here is a breakdown of its components:
1. **Hinge (Point O):** This is the pivot point around which the lever rotates.
2. **Lever:** The horizontal wooden plank that extends from the hinge.
3. **Force (\(\vec{F}\)):** An external upward force applied on the lever at a specific point.
4. **Position Vector (\(\vec{r}\)):** This represents the vector from the hinge (point O) to the point where the force is applied.
The lever pivots around the hinge (Point O), and the force (\(\vec{F}\)) is applied at the far end of the lever, creating a torque with respect to the hinge point. The diagram highlights the relationship between the lever arm (\(\vec{r}\)) and the applied force (\(\vec{F}\)). The lever arm is the distance from the pivot point (hinge) to the point where the force is applied.
This diagram could be used to discuss topics such as torque, rotational equilibrium, and the moment of force in physics.
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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