(a) A student stands distance d = 0.375 m from the left end of a beam as shown in the figure. The beam is supported by three lines. Find the tension in each line (in N). Assume the beam is uniform, with length L = 2.00 m and mass 29.0 kg, and the weight of the student is 705 N. (Due to the nature of this problem, do not use rounded intermediate values in your calculations- including answers submitted in WebAssign.)
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
![**Educational Website Content:**
**Problem Scenario:**
A student stands a distance \( d = 0.375 \, \text{m} \) from the left end of a beam as shown in the figure. The beam is supported by three lines. Determine the tension in each line (in newtons). Assume the beam is uniform, with a length \( L = 2.00 \, \text{m} \) and mass \( 29.0 \, \text{kg} \), and the weight of the student is \( 705 \, \text{N} \). (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)
### Diagram Description:
- The beam is supported at three points.
- Tension \( \vec{T}_1 \) is at the right end of the beam making an angle of \( 40.0^\circ \) with the horizontal.
- Tension \( \vec{T}_2 \) acts vertically upwards from the middle-left part of the beam.
- Tension \( \vec{T}_3 \) acts vertically upwards on the far left of the beam.
### Tasks:
1. **Calculate Tension:**
- \(|\vec{T}_1|\) = [Enter Value] N
- \(|\vec{T}_2|\) = [Enter Value] N
- \(|\vec{T}_3|\) = [Enter Value] N
2. **What If? Analysis:**
- The student begins walking to the right. If each line can support a maximum tension of \( 750 \, \text{N} \), determine which line will fail first.
- Line 1
- Line 2
- Line 3
- State the location at which this occurs (measured in meters from the left end of the beam):
- [Enter Location] m
These exercises will assist in understanding the concepts of equilibrium, tension forces, and the effects of distributed loads.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8caa8888-794e-4f6b-9ad1-1f5517b6770f%2F5f394276-9fc9-473a-89dc-3c0d925731ec%2Fy8himdz_processed.png&w=3840&q=75)
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