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5-61. If d = 1 m, and 0 = 30°, determine the normal reaction at the smooth supports and the required distance a for the placement of the roller if P = 600 N. Neglect the weight of the bar.

5-61. If d = 1 m, and 0 = 30°, determine the normal reaction at the smooth supports and the required distance a for the placement of the roller if P = 600 N. Neglect the weight of the bar.

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**Problem 5-61:** **Objective:** Determine the normal reaction at the smooth supports and the required distance \( a \) for the placement of the roller given \( P = 600 \, \text{N} \). Neglect the weight of the bar. **Given:** - \( d = 1 \, \text{m} \) - \( \theta = 30^\circ \) - \( P = 600 \, \text{N} \) **Description of the Diagram:** The diagram illustrates a bar positioned against a smooth surface with a roller. The bar is inclined at an angle \( \theta \) of 30 degrees to the horizontal. The length from the support to the contact point on the wall or smooth surface is \( d = 1 \, \text{m} \). The distance from the base of the incline to the roller is \( a \). The force \( P \) is acting vertically downward at the top of the bar. The smooth surface prevents horizontal movement, and the roller ensures free rotation about its surface. **Tasks:** 1. Calculate the normal reaction at the smooth supports. 2. Determine the required distance \( a \) for the roller's placement. Note: The problem assumes the weight of the bar can be neglected and focuses solely on the applied force \( P \).
Transcribed Image Text:**Problem 5-61:** **Objective:** Determine the normal reaction at the smooth supports and the required distance \( a \) for the placement of the roller given \( P = 600 \, \text{N} \). Neglect the weight of the bar. **Given:** - \( d = 1 \, \text{m} \) - \( \theta = 30^\circ \) - \( P = 600 \, \text{N} \) **Description of the Diagram:** The diagram illustrates a bar positioned against a smooth surface with a roller. The bar is inclined at an angle \( \theta \) of 30 degrees to the horizontal. The length from the support to the contact point on the wall or smooth surface is \( d = 1 \, \text{m} \). The distance from the base of the incline to the roller is \( a \). The force \( P \) is acting vertically downward at the top of the bar. The smooth surface prevents horizontal movement, and the roller ensures free rotation about its surface. **Tasks:** 1. Calculate the normal reaction at the smooth supports. 2. Determine the required distance \( a \) for the roller's placement. Note: The problem assumes the weight of the bar can be neglected and focuses solely on the applied force \( P \).
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