A frictionless ball slide from rest along the AB side of an inclined plane with 0 = 30° and h=1m (Figure 3). The motion continues on a flat plane along BC. 6. (a) Draw the free-body diagram on AB and BC path. (b) Determine the ball's acceleration on the inclined plane. (c) Determine the ball's acceleration on the flat plane BC. (d) Determine the speed in point B sin 30° = 0.5; cos 30° = 0.866

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A frictionless ball slide from rest along the AB side of an inclined plane with (Figure 3). The motion continues on a flat plane along BC.?=30° ???ℎ=1 ?(a) Draw the free-body diagram on AB and BC path.(b) Determine the ball’s acceleration on the inclined plane.(c) Determine the ball’s acceleration on the flat plane BC.(d) Determine the speed in point Bsin30°=0.5; cos30°=0.866

 

 

**6. Problem Statement:**

A frictionless ball slides from rest along the AB side of an inclined plane with \(\theta = 30^\circ\) and \(h = 1 \, \text{m}\) (Figure 3). The motion continues on a flat plane along BC.

**Tasks:**

(a) Draw the free-body diagram on AB and BC path.

(b) Determine the ball’s acceleration on the inclined plane.

(c) Determine the ball’s acceleration on the flat plane BC.

(d) Determine the speed at point B.

Given:
\[
\sin 30^\circ = 0.5; \quad \cos 30^\circ = 0.866
\]

**Figure Description:**

The diagram shows a right triangle representing an inclined plane. The hypotenuse, labeled as \(AB\), is the path where the ball slides down. Point \(A\) is at the top, where the ball starts, and point \(B\) is at the bottom at the beginning of the flat surface. The height of the incline, \(h\), is marked with a perpendicular line from \(A\) to the base, which is the flat plane along \(BC\). The angle of inclination \( \theta = 30^\circ \) is denoted at the base of the triangle.
Transcribed Image Text:**6. Problem Statement:** A frictionless ball slides from rest along the AB side of an inclined plane with \(\theta = 30^\circ\) and \(h = 1 \, \text{m}\) (Figure 3). The motion continues on a flat plane along BC. **Tasks:** (a) Draw the free-body diagram on AB and BC path. (b) Determine the ball’s acceleration on the inclined plane. (c) Determine the ball’s acceleration on the flat plane BC. (d) Determine the speed at point B. Given: \[ \sin 30^\circ = 0.5; \quad \cos 30^\circ = 0.866 \] **Figure Description:** The diagram shows a right triangle representing an inclined plane. The hypotenuse, labeled as \(AB\), is the path where the ball slides down. Point \(A\) is at the top, where the ball starts, and point \(B\) is at the bottom at the beginning of the flat surface. The height of the incline, \(h\), is marked with a perpendicular line from \(A\) to the base, which is the flat plane along \(BC\). The angle of inclination \( \theta = 30^\circ \) is denoted at the base of the triangle.
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