A bowler throws a bowling ball of radius R = 11 cm along a lane. The ball (the figure) slides on the lane with initial speed vcom,0 = 8.8 m/s and initial angular speed wo = 0. The coefficient of kinetic friction between the ball and the lane is 0.35. The kinetic frictional force 7 acting on the ball causes a linear acceleration of the ball while producing a torque that causes an angular acceleration of the ball. When speed veom has decreased enough and angular speed p has increased enough, the ball stops sliding and then rolls smoothly. During the sliding, what are the ball's (a) linear acceleration and (b) angular acceleration? (c) How long does the ball slide? (d) How far does the ball slide? (e) What
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.
![*Chapter 11, Problem 15
Flying Circus of Physics
A bowler throws a bowling ball of radius R = 11 cm along a lane. The ball (the figure) slides on the lane with initial
speed vcom.0 = 8.8 m/s and initial angular speed wo = 0. The coefficient of kinetic friction between the ball and the lane
is 0.35. The kinetic frictional force 7 acting on the ball causes a linear acceleration of the ball while producing a
torque that causes an angular acceleration of the ball. When speed vcom has decreased enough and angular speed o
has increased enough, the ball stops sliding and then rolls smoothly. During the sliding, what are the ball's (a) linear
acceleration and (b) angular acceleration? (c) How long does the ball slide? (d) How far does the ball slide? (e) What
is the linear speed of the ball when smooth rolling begins? Note that the clockwise direction is taken as negative.
Vcot
(a) Number
11 Units
(b) Number
]•2 Units
(c) Number
1•3 Units
(d) Number
4 Units
(e) Number
7•5 Units](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4bd23576-ef99-41a3-b66f-1bf00c96b747%2F3ebb51af-d8bb-48db-af28-b1bdb459832e%2Fo5s4kv3_processed.jpeg&w=3840&q=75)
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