Three toy elephants are connected by rigid rods of negligible mass lying along t

Question

Three toy elephants are connected by rigid rods of negligible mass lying along the y-axis. The first elephant is located at y = 9 m and has a mass of 6 kg. The mass of the second elephant is 1.3 kg and it is located at y = ?6 m. Elephant three has a mass of 2.4 kg and is located at y = ?12 m. The system rotates about the x -axis with an angular speed of ? = 4 rad/s. (a)Find the moment of inertia about the x-axis. (b)Determine the total rotational kinetic energy. (c)Each of these objects has a rotational speed as they move in their circular paths around the pivot point. Find the rotational speed ( v1) of elephant 1. (d)Find the rotational speed ( v3) of elephant 3. (e)Since each of the elephants has a speed ( v), it is possible to find a traditional kinetic energy associated with translational motion of the elephants around the pivot point using K=1/2 mv2. What is the total translational kinetic energy of the elephants?

Explanation / Answer

moment of inertia

=6(9)(9)+1.9(-4)(-4)+2.4(-12)(-12)=862kg.m2

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