Question

The robot arm is elevating and extending simultaneously. At a given instant, θ=30°, θ°=10 deg/s=constant, l=0.5 m, ḋl=0.2 m/s, and ḋ²l=−0.3 m/s². Compute the magnitudes of.

Answer 1

To solve the problem, we find the values of θ, ḋ²θ, and ḋ²θ² using the given information.

Step-by-step explanation:

In this question, we are given the values of θ, ḋθ, l, and ḋ²l, and we need to compute the magnitudes of θ, ḋ²θ, and ḋ²θ².

To find the magnitude of θ, we use the given value of θ, which is 30°.

To find the magnitude of ḋ²θ, we use the given value of ḋ²l and the formula ḋ²θ = ḋ²l / l.

To find the magnitude of ḋ²θ², we differentiate the equation ḋ²θ = ḋ²l / l with respect to time.