The two children shown in the figure below are balanced on a seesaw of negligible mass. The first child has a mass of 27.3 kg and sits 1.24 m from the pivot. The second child has a mass of 33 and sits 1.00 m from the pivot. Use the second condition for equilibrium (net r= 0) to calculate the supporting force (in N) exerted by the pivot. (Enter the magnitude.) H m₂ m₂
The two children shown in the figure below are balanced on a seesaw of negligible mass. The first child has a mass of 27.3 kg and sits 1.24 m from the pivot. The second child has a mass of 33 and sits 1.00 m from the pivot. Use the second condition for equilibrium (net r= 0) to calculate the supporting force (in N) exerted by the pivot. (Enter the magnitude.) H m₂ m₂
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![**Seesaw Balance Experiment for Educational Purpose**
**Objective:**
Understanding the conditions for equilibrium in a seesaw system with negligible mass using the principles of torque and force balance.
**Description of the Setup and Figure Analysis:**
In the illustrated setup, two children are balanced on a seesaw.
1. **Children's Positions and Masses:**
- The first child (mass \( m_1 = 27.2 \) kg) sits \( 1.24 \) meters from the pivot point (denoted by \( r_1 \)).
- The second child (mass \( m_2 = 35 \) kg) sits \( 1.00 \) meter from the pivot point (denoted by \( r_2 \)).
2. **Forces Acting on the System:**
- The weights of the children exert downward forces (\( W_1 \) and \( W_2 \)):
- \( W_1 \) = \( m_1 \cdot g \) (gravity's effect on the first child's mass)
- \( W_2 \) = \( m_2 \cdot g \) (gravity's effect on the second child's mass)
- \( F_p \) is the supporting force exerted by the pivot, which acts upwards to balance the seesaw system.
**Conditions for Equilibrium:**
To ensure the seesaw remains in equilibrium (net torque is zero), the torques caused by the weights of both children relative to the pivot must be equal and opposite:
\[ W_1 \cdot r_1 = W_2 \cdot r_2 \]
**Steps to Calculate Supporting Force (\(F_p\)):**
1. **Calculate the weights:**
- \( W_1 = 27.2 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \)
- \( W_2 = 35 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \)
2. **Apply torque equilibrium condition:**
- Substitute values into the equation \( W_1 \cdot r_1 = W_2 \cdot r_2 \)
- Simplify to find if torques are balanced.
3. **Calculate the Supporting Force (\( F_p \)):**
- The sum](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc31f934b-62b7-425c-8b5d-bfb0b333f649%2Fbd6e94e5-f20c-49b2-b559-50dac2c24c72%2F8sq86m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Seesaw Balance Experiment for Educational Purpose**
**Objective:**
Understanding the conditions for equilibrium in a seesaw system with negligible mass using the principles of torque and force balance.
**Description of the Setup and Figure Analysis:**
In the illustrated setup, two children are balanced on a seesaw.
1. **Children's Positions and Masses:**
- The first child (mass \( m_1 = 27.2 \) kg) sits \( 1.24 \) meters from the pivot point (denoted by \( r_1 \)).
- The second child (mass \( m_2 = 35 \) kg) sits \( 1.00 \) meter from the pivot point (denoted by \( r_2 \)).
2. **Forces Acting on the System:**
- The weights of the children exert downward forces (\( W_1 \) and \( W_2 \)):
- \( W_1 \) = \( m_1 \cdot g \) (gravity's effect on the first child's mass)
- \( W_2 \) = \( m_2 \cdot g \) (gravity's effect on the second child's mass)
- \( F_p \) is the supporting force exerted by the pivot, which acts upwards to balance the seesaw system.
**Conditions for Equilibrium:**
To ensure the seesaw remains in equilibrium (net torque is zero), the torques caused by the weights of both children relative to the pivot must be equal and opposite:
\[ W_1 \cdot r_1 = W_2 \cdot r_2 \]
**Steps to Calculate Supporting Force (\(F_p\)):**
1. **Calculate the weights:**
- \( W_1 = 27.2 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \)
- \( W_2 = 35 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \)
2. **Apply torque equilibrium condition:**
- Substitute values into the equation \( W_1 \cdot r_1 = W_2 \cdot r_2 \)
- Simplify to find if torques are balanced.
3. **Calculate the Supporting Force (\( F_p \)):**
- The sum
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