A 20cm radius turn-table is turning with a constant angular speed ω0=33rev/min . The turn-table has a moment of inertia I=5.0kg(cm)2 relative to the axis through its center. Call this central axis the z-axis. A piece of sticky gum with mass m=50g falls straight down on the turn-table and sticks at a distance of 10cm from the center. What are the forces the tact on the system after the gum falls on the turn-table? Group of answer choices Weight of turn-table, Normal force on the turn-table, Weight of gum Weight of turn-table, Normal force on the turn-table, Weight of gum, Normal force on gum Weight of turn-table, Weight of gum Weight of gum What can you say about the net torque relative to the axis of rotation, after the gum falls on the turn-table? Group of answer choices there is a torque of 0.049 kg m2/s2, in the z direction there is a torque of 0.098 kg m2/s2, in the z direction there is no net torque in the z direction
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.
A 20cm radius turn-table is turning with a constant angular speed ω0=33rev/min . The turn-table has a moment of inertia I=5.0kg(cm)2 relative to the axis through its center. Call this central axis the z-axis. A piece of sticky gum with mass m=50g falls straight down on the turn-table and sticks at a distance of 10cm from the center.
What are the forces the tact on the system after the gum falls on the turn-table?
Weight of turn-table, Normal force on the turn-table, Weight of gum, Normal force on gum
What can you say about the net torque relative to the axis of rotation, after the gum falls on the turn-table?
there is a torque of 0.049 kg m2/s2, in the z direction
What is the
5.5π kg m2/s, in the x direction
5.5π kg m2/s, in the y direction
5.5π kg cm2/s, in the x direction
5.5π kg m2/s, in the z direction
5.5π kg cm2/s, in the y direction
5.5π kg cm2/s, in the z direction
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