A Turntable Has a Radius of 0

question 1322

Multiple Choice

A turntable has a radius of 0.80 m and a moment of inertia of 2.0 kg • m².The turntable is rotating with an angular velocity of 1.5 rad/s about a vertical axis though its center on frictionless bearings.A very small 0.40-kg ball is projected horizontally toward the turntable axis with a velocity of 3.0 m/s.The ball is caught by a very small and very light cup-shaped mechanism on the rim of the turntable (see figure) .What is the angular velocity of the turntable just after the ball is caught?

• A) 2.1 rad/s
• B) 1.3 rad/s
• C) 0.94 rad/s
• D) 0.75 rad/s
• E) 0.30 rad/s

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Definitions:

Glenohumeral

Referring to the glenohumeral joint, the ball and socket joint where the arm (humerus bone) connects to the shoulder blade (scapula).

Atlanto-axial

Pertaining to the joint formed between the atlas (first cervical vertebra) and the axis (second cervical vertebra) which enables head rotation.

Acetabular Labrum

A ring of cartilage surrounding the socket of the hip joint that helps to improve the stability of the joint.

Acetabulum

The socket in the pelvic bone that receives the head of the femur, forming the hip joint.