**Problem 16–127:**The slider block moves with a velocity of \( v_B = 5 \, \text{ft/s} \) and an acceleration of \( a_B = 3 \, \text{ft/s}^2 \). Determine the angular acceleration of rod \( AB \) at the instant shown.**Diagram Explanation:**The diagram consists of a rod \( AB \) connected to a curved path at point \( A \) and a slider block at point \( B \). The following details are illustrated:- The rod \( AB \) is 2 feet long.- The curved path at point \( A \) has a radius of 1.5 feet.- The angle between the rod and the horizontal line is \( 30^\circ \).The motion parameters provided are:- Velocity of the block \( B \) (\( v_B \)) is 5 feet per second.- Acceleration of the block \( B \) (\( a_B \)) is 3 feet per second squared.The problem requires calculating the angular acceleration of the rod \( AB \) at the given instant.

The question is solved using the instant centre approach and relative velocity and acceleration…

16-127. The slider block moves with a velocity of UB = 5 ft/s and an acceleration of aB = 3 ft/s². Determine the angular acceleration of rod AB at the instant shown. Problem 16-127 1.5 ft 30° 2 ft B VB = 5 ft/s aB = 3 ft/s²

16-127. The slider block moves with a velocity of UB = 5 ft/s and an acceleration of aB = 3 ft/s². Determine the angular acceleration of rod AB at the instant shown. Problem 16-127 1.5 ft 30° 2 ft B VB = 5 ft/s aB = 3 ft/s²

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Question

**Problem 16–127:**

The slider block moves with a velocity of \( v_B = 5 \, \text{ft/s} \) and an acceleration of \( a_B = 3 \, \text{ft/s}^2 \). Determine the angular acceleration of rod \( AB \) at the instant shown.

**Diagram Explanation:**

The diagram consists of a rod \( AB \) connected to a curved path at point \( A \) and a slider block at point \( B \). The following details are illustrated:

- The rod \( AB \) is 2 feet long.
- The curved path at point \( A \) has a radius of 1.5 feet.
- The angle between the rod and the horizontal line is \( 30^\circ \).

The motion parameters provided are:

- Velocity of the block \( B \) (\( v_B \)) is 5 feet per second.
- Acceleration of the block \( B \) (\( a_B \)) is 3 feet per second squared.

The problem requires calculating the angular acceleration of the rod \( AB \) at the given instant.

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