Problem 1: Auniform thin rod of mass m = 4.4 kg and length L = 1.2 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F = 4.5 N, F, = 4.5 N, F; = 12.5 N and F= 19.5 N. F, acts a distance d= 0.28 m from the center 45° F, of mass. 60° F, F. Part (a) Calculate the magnitude t, of the torque due to force F1, in newton meters. T = sin) cos() tan() HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 1 2 3 cosh() ODegrees O Radians tanh() cotanh() END Vol BACKSPACE CLEAR Submit Hint Feedback I give up! Part (b) Calculate the magnitude r2 of the torque due to force F2 in newton meters. Part (c) Calculate the magnitude rz of the torque due to force F3 in newton meters. Part (d) Calculate the magnitude r, of the torque due to force F, in newton meters.
Problem 1: Auniform thin rod of mass m = 4.4 kg and length L = 1.2 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F = 4.5 N, F, = 4.5 N, F; = 12.5 N and F= 19.5 N. F, acts a distance d= 0.28 m from the center 45° F, of mass. 60° F, F. Part (a) Calculate the magnitude t, of the torque due to force F1, in newton meters. T = sin) cos() tan() HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 1 2 3 cosh() ODegrees O Radians tanh() cotanh() END Vol BACKSPACE CLEAR Submit Hint Feedback I give up! Part (b) Calculate the magnitude r2 of the torque due to force F2 in newton meters. Part (c) Calculate the magnitude rz of the torque due to force F3 in newton meters. Part (d) Calculate the magnitude r, of the torque due to force F, in newton meters.
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![**Problem 1:**
A uniform thin rod of mass \( m = 4.4 \, \text{kg} \) and length \( L = 1.2 \, \text{m} \) can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are \( F_1 = 4.5 \, \text{N} \), \( F_2 = 4.5 \, \text{N} \), \( F_3 = 12.5 \, \text{N} \), and \( F_4 = 19.5 \, \text{N} \). \( F_2 \) acts a distance \( d = 0.28 \, \text{m} \) from the center of mass.
**Diagram Explanation:**
The diagram shows a vertical rod with an axle through its center. Four forces are applied:
- \( F_1 \) acting horizontally to the right
- \( F_2 \) acting at a \( 45^\circ \) angle upward to the right
- \( F_3 \) acting at a \( 60^\circ \) angle downward to the left
- \( F_4 \) acting vertically downward
The distance \( d \) from the center to where \( F_2 \) is applied is \( 0.28 \, \text{m} \).
---
**Part (a):** Calculate the magnitude \( \tau_1 \) of the torque due to force \( F_1 \), in newton meters.
\[
\tau_1 =
\]
(Provide an interface for calculations, including trigonometric functions and unit selection between degrees and radians.)
**Parts (b)-(e):**
- **Part (b):** Calculate the magnitude \( \tau_2 \) of the torque due to force \( F_2 \) in newton meters.
- **Part (c):** Calculate the magnitude \( \tau_3 \) of the torque due to force \( F_3 \) in newton meters.
- **Part (d):** Calculate the magnitude \( \tau_4 \) of the torque due to force \( F_4 \) in newton meters.
- **Part (e):** Calculate the angular acceleration \( \alpha \) of the thin rod about its center of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe02afb4e-cb6f-4163-a956-4878a602b229%2Fff131300-39b0-43e5-a3d3-6c561d4e17f2%2Fer4d4k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 1:**
A uniform thin rod of mass \( m = 4.4 \, \text{kg} \) and length \( L = 1.2 \, \text{m} \) can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are \( F_1 = 4.5 \, \text{N} \), \( F_2 = 4.5 \, \text{N} \), \( F_3 = 12.5 \, \text{N} \), and \( F_4 = 19.5 \, \text{N} \). \( F_2 \) acts a distance \( d = 0.28 \, \text{m} \) from the center of mass.
**Diagram Explanation:**
The diagram shows a vertical rod with an axle through its center. Four forces are applied:
- \( F_1 \) acting horizontally to the right
- \( F_2 \) acting at a \( 45^\circ \) angle upward to the right
- \( F_3 \) acting at a \( 60^\circ \) angle downward to the left
- \( F_4 \) acting vertically downward
The distance \( d \) from the center to where \( F_2 \) is applied is \( 0.28 \, \text{m} \).
---
**Part (a):** Calculate the magnitude \( \tau_1 \) of the torque due to force \( F_1 \), in newton meters.
\[
\tau_1 =
\]
(Provide an interface for calculations, including trigonometric functions and unit selection between degrees and radians.)
**Parts (b)-(e):**
- **Part (b):** Calculate the magnitude \( \tau_2 \) of the torque due to force \( F_2 \) in newton meters.
- **Part (c):** Calculate the magnitude \( \tau_3 \) of the torque due to force \( F_3 \) in newton meters.
- **Part (d):** Calculate the magnitude \( \tau_4 \) of the torque due to force \( F_4 \) in newton meters.
- **Part (e):** Calculate the angular acceleration \( \alpha \) of the thin rod about its center of
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