(Figure 1), the man has a mass of 90 kg and the crate has a mass of 160 kg. The efficient of static friction between his shoes and the ground is μ = 0.4 and between the ate and the ground is the = 0.3. ure A 1 of 1 Part A Determine if the man is able to move the crate using the The man can move the crate. The man cannot move the crate. Submit Correct Part B Prove your answer to part A by calculating the static frict Express your answers in newtons to three significar 197) ΑΣΦ 41 Ivec F. Fx Previous Answers Submit Provide Feedback Request Answer
(Figure 1), the man has a mass of 90 kg and the crate has a mass of 160 kg. The efficient of static friction between his shoes and the ground is μ = 0.4 and between the ate and the ground is the = 0.3. ure A 1 of 1 Part A Determine if the man is able to move the crate using the The man can move the crate. The man cannot move the crate. Submit Correct Part B Prove your answer to part A by calculating the static frict Express your answers in newtons to three significar 197) ΑΣΦ 41 Ivec F. Fx Previous Answers Submit Provide Feedback Request Answer
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Transcribed Image Text:### Educational Content on Rope-and-Pulley System
#### Problem Description
In the scenario described in Figure 1, there is a man with a mass of 90 kg attempting to move a crate that has a mass of 160 kg. The coefficient of static friction (\(\mu_s\)) between the man's shoes and the ground is 0.4, and the coefficient of static friction between the crate and the ground is 0.3.
#### Diagram Explanation
The figure illustrates a man pulling on a rope connected to a pulley mechanism, which is attached to the crate. The pulley alters the direction of the force applied by the man.
The angles involved are:
- 30° between the rope and the horizontal line from point C to the crate
- 45° from the vertical where the rope connects with the pulley
#### Problem-Solving Parts
**Part A**
- **Objective**: Determine if the man can move the crate using the rope-and-pulley system.
- **Options**:
- The man can move the crate.
- The man cannot move the crate.
- **Answer**: The man cannot move the crate (Correct).
**Part B**
- **Objective**: Calculate the static frictional force (\(F\)) between the man's shoes and the ground, as well as the force needed to move the crate. This involves comparing it to the maximum static frictional force (\(F_{\text{max}}\)) that can be developed.
- **Expression of Result**: Answers should be expressed in Newtons to three significant figures, separated by commas.
- **Input Field**: Provide your calculated value for \(F_{\text{max}}\).
This problem explores concepts of static friction, mechanics with pulleys, and the application of forces in a practical scenario. Students are encouraged to apply formulas relevant to static friction and force calculation to solve the given tasks.
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