**Problem Statement:**A 1.3-kg ball is being pushed by a rod in the vertical plane along a curved path with the equation \( r = (C \cdot \theta) \) m, where \( C = 0.4 \). At the instant \( \theta = 1.5 \) rad, if the rod moves at an angular velocity \( \dot{\theta} = 2.1 \) rad/s and angular acceleration \( \ddot{\theta} = 3.4 \) rad/s\(^2\), determine the force exerted by the rod on the ball. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. Take \( g = 9.81 \) m/s\(^2\).**Diagram Explanation:**The image consists of two diagrams showing a rod inclined at an angle \( \theta \) pushing a ball along a curved path. The path is defined by the equation \( r = C \cdot \theta \). The first diagram shows the setup with the rod and angle \( \theta \) marked. The second diagram includes a tangent line at the point of contact between the rod and the path, with the angle \( \psi \) indicating the angle between the rod and the tangent line.**Input Area for Answer:**There is a space provided for users to input their calculated answer with two fields labeled 'Answer' and 'Units.'

Answered: Image /qna-images/answer/230be0bb-441a-4e17-825b-2ce7d10d66da.jpg

Answered: Q18. A 1.3-kg ball is being pushed by a…

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