Michael Jordan has a portable basketball hoop in his driveway. He has set the basket at 8 ft (2.4 m) high so he can practice dunking the ball (he’s a bit older now, so he can’t quite jump “Air” Jordan style). He slams the ball through the hoop and then hangs on to the rim. This exerts a downward force of 600 N on the front of the rim. The front of the rim is 1.1 m in front of the front edge of the portable hoop’s base. The mass of the whole portable basketball hoop is 70 kg. The center of gravity of the portable hoop is 1.0 m behind the front edge of the base. How much torque is produced around the front of the hoop base by the 600 N force Air Jordan exerts on the front of the rim? How much torque is needed to tip the hoop? What is the largest vertical force that can be exerted on the front edge of the rim before the portable hoop begins to tip?
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.
- Michael Jordan has a portable basketball hoop in his driveway. He has set the basket at 8 ft (2.4 m) high so he can practice dunking the ball (he’s a bit older now, so he can’t quite jump “Air” Jordan style). He slams the ball through the hoop and then hangs on to the rim. This exerts a downward force of 600 N on the front of the rim. The front of the rim is 1.1 m in front of the front edge of the portable hoop’s base. The mass of the whole portable basketball hoop is 70 kg. The center of gravity of the portable hoop is 1.0 m behind the front edge of the base.
- How much torque is produced around the front of the hoop base by the 600 N force Air Jordan exerts on the front of the rim?
- How much torque is needed to tip the hoop?
- What is the largest vertical force that can be exerted on the front edge of the rim before the portable hoop begins to tip?
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
