A beetle with a mass of 20.0 g is initially at rest on the outer edge of a horizontal turntable that is also initially at rest. The turntable, which is free to rotate with no friction about an axis through its center, has a mass of 70.0 g and can be treated as a uniform disk. The beetle then starts to walk around the edge of the turntable, traveling at an angular velocity of 0.0300 rad/s clockwise with respect to the turntable. (a) What does the turntable do while the beetle is walking? O The turntable remains at rest. O The turntable rotates clockwise, and with the same angular speed as the beetle's. O The turntable rotates clockwise, with a larger angular speed than the beetle's. O The turntable rotates clockwise, with a smaller angular speed than the beetle's. O The turntable rotates counter-clockwise, but with the same angular speed as the beetle's. O The turntable rotates counter-clockwise, with a larger angular speed than the beetle's. O The turntable rotates counter-clockwise, with a smaller angular speed than the beetle's. (b) With respect to you, motionless as you watch the beetle and turntable, what is the angular velocity of the beetle? Use a positive sign if the answer is clockwise, and a negative sign if the answer is counter-clockwise. 0.0128 X rad/s (c) What is the angular velocity of the turntable (with respect to you)? Use a positive sign if the answer is clockwise, and a negative sign if the answer is counter-clockwise. -0.0171 X rad/s (d) If a mark is placed on the turntable at the beetle's starting point, how long does it take the beetle to reach the mark again? (e) Upon reaching the mark, the beetle stops. What does the turntable do? O To conserve angular momentum, the turntable also comes to rest. To conserve angular momentum, the turntable's angular velocity changes to the original angular velocity of the beetle. O To conserve angular momentum, the turntable speeds up. To conserve angular momentum, the turntable slows down, but does not come to rest. O To conserve angular momentum, the turntable keeps rotating at the same angular velocity. O To conserve angular momentum, the turntable reverses direction, but keeps the same angular speed.
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
Please answer B, C, & D
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