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A plastic disc is flicked up a sloping board. It has an initial speed of 1.6 ms¹, but gradually slows down. The board is inclined at 18° to the horizontal, and when the disc is flicked its centre is 0.3 m from the top of the board, as shown below. The coefficient of sliding friction between the disc and the board is 0.05. Model the disc as a particle, and take the magnitude of the acceleration due to gravity to be g = = 9.8 ms 2. 0.3 m 18° j In your response to this question, underline vectors to distinguish them from scalar quantities. If the magnitude of a vector is unknown, use the vector letter to represent the magnitude. For example, write the magnitude of a vector A as A. the (a) State the three forces acting on the disc while it is sliding up board, and draw a force diagram to represent them, labelling each force appropriately and indicating the directions of the forces by marking the sizes of suitable angles. (b) Find expressions for the component forms of the three forces, in terms of unknown magnitudes where appropriate, taking the Cartesian unit vectors i and j to point parallel and perpendicular, respectively, to the board, in the directions shown above. (c) Write down the vector equation obtained by applying Newton's second law of motion to the disc. Hence, or otherwise, find the acceleration of the disc, to two significant figures. (d) Determine whether the disc falls off the top of the board.

A plastic disc is flicked up a sloping board. It has an initial speed of 1.6 ms¹, but gradually slows down. The board is inclined at 18° to the horizontal, and when the disc is flicked its centre is 0.3 m from the top of the board, as shown below. The coefficient of sliding friction between the disc and the board is 0.05. Model the disc as a particle, and take the magnitude of the acceleration due to gravity to be g = = 9.8 ms 2. 0.3 m 18° j In your response to this question, underline vectors to distinguish them from scalar quantities. If the magnitude of a vector is unknown, use the vector letter to represent the magnitude. For example, write the magnitude of a vector A as A. the (a) State the three forces acting on the disc while it is sliding up board, and draw a force diagram to represent them, labelling each force appropriately and indicating the directions of the forces by marking the sizes of suitable angles. (b) Find expressions for the component forms of the three forces, in terms of unknown magnitudes where appropriate, taking the Cartesian unit vectors i and j to point parallel and perpendicular, respectively, to the board, in the directions shown above. (c) Write down the vector equation obtained by applying Newton's second law of motion to the disc. Hence, or otherwise, find the acceleration of the disc, to two significant figures. (d) Determine whether the disc falls off the top of the board.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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A plastic disc is flicked up a sloping board. It has an initial speed of 1.6 ms ¹, but gradually slows down. The board is inclined at 18° to the horizontal, and when the disc is flicked its centre is 0.3 m from the top of the board, as shown below. The coefficient of sliding friction between the disc and the board is 0.05. Model the disc as a particle, and take the magnitude of the acceleration due to gravity to be g = = 9.8ms ². 0.3 m 18 j In your response to this question, underline vectors to distinguish them from scalar quantities. If the magnitude of a vector is unknown, use the vector letter to represent the magnitude. For example, write the magnitude of a vector A as A. (a) State the three forces acting on the disc while it is sliding up the board, and draw a force diagram to represent them, labelling each force appropriately and indicating the directions of the forces by marking the sizes of suitable angles. (b) Find expressions for the component forms the three forces, in terms of unknown magnitudes where appropriate, taking the Cartesian unit vectors i and j to point parallel and perpendicular, respectively, to the board, in the directions shown above. (c) Write down the vector equation obtained by applying Newton's second law of motion to the disc. Hence, or otherwise, find the acceleration of the disc, to two significant figures. (d) Determine whether the disc falls off the top of the board.
Transcribed Image Text:A plastic disc is flicked up a sloping board. It has an initial speed of 1.6 ms ¹, but gradually slows down. The board is inclined at 18° to the horizontal, and when the disc is flicked its centre is 0.3 m from the top of the board, as shown below. The coefficient of sliding friction between the disc and the board is 0.05. Model the disc as a particle, and take the magnitude of the acceleration due to gravity to be g = = 9.8ms ². 0.3 m 18 j In your response to this question, underline vectors to distinguish them from scalar quantities. If the magnitude of a vector is unknown, use the vector letter to represent the magnitude. For example, write the magnitude of a vector A as A. (a) State the three forces acting on the disc while it is sliding up the board, and draw a force diagram to represent them, labelling each force appropriately and indicating the directions of the forces by marking the sizes of suitable angles. (b) Find expressions for the component forms the three forces, in terms of unknown magnitudes where appropriate, taking the Cartesian unit vectors i and j to point parallel and perpendicular, respectively, to the board, in the directions shown above. (c) Write down the vector equation obtained by applying Newton's second law of motion to the disc. Hence, or otherwise, find the acceleration of the disc, to two significant figures. (d) Determine whether the disc falls off the top of the board.
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