Piston 1 in the figure has a diameter of 1.48 cm. m 2 2 in. 10 in. (1 LL Piston 2 has a diameter of 8.47 cm. In the absence of friction, determine the force required on piston 1 necessary to support an object with a mass of 989 kg placed on piston 2. (Neglect the height difference between the bottom of the two pistons, and assume that the pistons are massless).
Piston 1 in the figure has a diameter of 1.48 cm. m 2 2 in. 10 in. (1 LL Piston 2 has a diameter of 8.47 cm. In the absence of friction, determine the force required on piston 1 necessary to support an object with a mass of 989 kg placed on piston 2. (Neglect the height difference between the bottom of the two pistons, and assume that the pistons are massless).
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Transcribed Image Text:### Educational Content: Hydraulic Pistons
#### Text Description:
- Piston 1 in the figure has a diameter of 1.48 cm.
- Piston 2 has a diameter of 8.47 cm.
- In the absence of friction, determine the force required on piston 1 necessary to support an object with a mass of 989 kg placed on piston 2.
- **Assumptions:**
- Neglect the height difference between the bottom of the two pistons.
- Assume that the pistons are massless.
#### Diagram Explanation:
The image illustrates a hydraulic system consisting of two pistons connected by a fluid. Here is a detailed explanation of the diagram components:
- **Piston 1:**
- Located on the right side, with a smaller diameter of 1.48 cm.
- Attached to a handle held by a hand, applying force \( F \).
- **Piston 2:**
- Located on the left side, with a larger diameter of 8.47 cm.
- Holds a mass \( m \) of 989 kg on top.
- **Connecting Arm:**
- Horizontal arm measuring 10 in. with a 2 in. section leading to Piston 1.
- **Force Diagram:**
- Shows the application of force \( F \) vertically downward on Piston 1 via the handle.
#### Problem Questions:
- **Primary Question:** What is the magnitude of the force \( F \), required at the end of the handle?
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