As shown in the figure below, a stick of length L = 0.410 m and mass m = 0.180 kg is in contact with a rough floor at one end and a frictionless bowling ball (diameter d = 20.00 cm) at some other point such that the angle between the stick and the floor is ? = 30°.Determine the following
As shown in the figure below, a stick of length L = 0.410 m and mass m = 0.180 kg is in contact with a rough floor at one end and a frictionless bowling ball (diameter d = 20.00 cm) at some other point such that the angle between the stick and the floor is ? = 30°.Determine the following
College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
As shown in the figure below, a stick of length L = 0.410 m and mass m = 0.180 kg is in contact with a rough floor at one end and a frictionless bowling ball (diameter d = 20.00 cm) at some other point such that the angle between the stick and the floor is ? = 30°.Determine the following.
(a) magnitude of the force exerted on the stick by the bowling ball
N
(b) horizontal component of the force exerted on the stick by the floor
N
(c) vertical component of the force exerted on the stick by the floor
N
N
(b) horizontal component of the force exerted on the stick by the floor
N
(c) vertical component of the force exerted on the stick by the floor
N
Transcribed Image Text:### Rolling Object on an Inclined Plane
This image demonstrates a physical scenario where a spherical object, such as a bowling ball, is positioned on an inclined plane. The important feature indicated in this diagram is the angle of inclination of the plane, which is marked as 30.0 degrees.
**Explanation of the Diagram:**
1. **Inclined Plane:**
- The inclined plane is represented by a slanted surface on which the spherical object rests.
- The surface is inclined at an angle of 30.0 degrees relative to a horizontal baseline.
2. **Spherical Object (Bowling Ball):**
- The spherical object shown in the diagram resembles a bowling ball with three holes, indicating it is likely used for gripping.
- The ball is positioned in a way that it could potentially roll down due to the inclination of the plane.
3. **Angle of Inclination:**
- The angle at which the plane is inclined with respect to the horizontal baseline is labeled clearly as 30.0 degrees.
- This angle is crucial for understanding the forces acting on the ball and predicting its motion.
**Application:**
The inclined plane setup is a fundamental physical concept used to study the effects of gravitational force on an object. By analyzing this scenario, students and learners can explore various principles such as:
- **Gravitational Force (Fg):** The force acting vertically downward due to gravity.
- **Normal Force (Fn):** The perpendicular force exerted by the inclined plane on the object.
- **Component Forces:** Addressing how gravitational force can be resolved into components parallel and perpendicular to the inclined plane.
- **Potential and Kinetic Energy:** Understanding the energy transformations as the ball rolls down the incline.
- **Frictional Forces:** If considered, to analyze how friction impacts the rolling motion of the ball.
This simple yet comprehensive diagram serves as an exemplary illustration of the basic mechanics involved in the motion of objects on inclined planes, which is pivotal in classical mechanics and various engineering applications.
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