Pushing a Block and a Wedge0 points possible (ungraded)In the following problem, you are asked to:i) Define the system and the environment:Identify which objects - the environment - interact with the object of interest - the system. Justify your choice of system: woulda different choice also work? If not, why not? If so, why is the choice you made better?ii) Describe the interactions and the resulting forces:Identify the forces exerted on the object of interest by the other objects.iii) Draw the free body diagram of the object:Make sure that each force arrow is labeled with two subscripts - who is exerting the force and on whom is the force beingexerted. The length of the arrows should represent qualitatively the magnitude of the force.a)c)Mm0aFMm0A block of mass m rests on a frictionless wedge which has a mass M and whose surface makes an angle to the horizontal asCalculator Make sure that each force arrow is labeled with two subscripts - who is exerting the force and on whom is the force beingexerted. The length of the arrows should represent qualitatively the magnitude of the force.a)Mm0Submitac)FMmA block of mass m rests on a frictionless wedge which has a mass M and whose surface makes an angle to the horizontal asshown. An external force F is acting on the wedge causing it to move to the right with constant acceleration.a) Find the acceleration to the right such that the block m remains stationary relative to the wedge. Express your answer interms of m, 0, g, and M, as needed.b) Describe qualitatively the motion of the block if the wedge had a greater acceleration than the one obtained in a).c) What is the magnitude of the force F for which the two objects move with the same acceleration as in part a)? Express youranswer in terms of m, 0, g, and M, as needed.In your solution, clearly indicate the coordinate axes you will use to write the forces. Include all the relevant free body diagrams andlabel the forces with double subscript notation.Calculator

a) M m 0 a û F M m 0 A block of mass m rests on a frictionless wedge which has a mass M and whose surface makes an angle to the horizontal as shown. An external force F is acting on the wedge causing it to move to the right with constant acceleration. a) Find the acceleration to the right such that the block m remains stationary relative to the wedge. Express your answer in terms of m, 0, g, and M, as needed. b) Describe qualitatively the motion of the block if the wedge had a greater acceleration than the one obtained in a). c) What is the magnitude of the force F for which the two objects move with the same acceleration as in part a)? Express your answer in terms of m, 0, g, and M, as needed. In your solution, clearly indicate the coordinate axes you will use to write the forces. Include all the relevant free body diagrams and label the forces with double subscript notation.

a) M m 0 a û F M m 0 A block of mass m rests on a frictionless wedge which has a mass M and whose surface makes an angle to the horizontal as shown. An external force F is acting on the wedge causing it to move to the right with constant acceleration. a) Find the acceleration to the right such that the block m remains stationary relative to the wedge. Express your answer in terms of m, 0, g, and M, as needed. b) Describe qualitatively the motion of the block if the wedge had a greater acceleration than the one obtained in a). c) What is the magnitude of the force F for which the two objects move with the same acceleration as in part a)? Express your answer in terms of m, 0, g, and M, as needed. In your solution, clearly indicate the coordinate axes you will use to write the forces. Include all the relevant free body diagrams and label the forces with double subscript notation.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

Question

Pushing a Block and a Wedge
0 points possible (ungraded)
In the following problem, you are asked to:
i) Define the system and the environment:
Identify which objects - the environment - interact with the object of interest - the system. Justify your choice of system: would
a different choice also work? If not, why not? If so, why is the choice you made better?
ii) Describe the interactions and the resulting forces:
Identify the forces exerted on the object of interest by the other objects.
iii) Draw the free body diagram of the object:
Make sure that each force arrow is labeled with two subscripts - who is exerting the force and on whom is the force being
exerted. The length of the arrows should represent qualitatively the magnitude of the force.
a)
c)
M
m
0
a
F
M
m
0
A block of mass m rests on a frictionless wedge which has a mass M and whose surface makes an angle to the horizontal as
Calculator

Make sure that each force arrow is labeled with two subscripts - who is exerting the force and on whom is the force being
exerted. The length of the arrows should represent qualitatively the magnitude of the force.
a)
M
m
0
Submit
a
c)
F
M
m
A block of mass m rests on a frictionless wedge which has a mass M and whose surface makes an angle to the horizontal as
shown. An external force F is acting on the wedge causing it to move to the right with constant acceleration.
a) Find the acceleration to the right such that the block m remains stationary relative to the wedge. Express your answer in
terms of m, 0, g, and M, as needed.
b) Describe qualitatively the motion of the block if the wedge had a greater acceleration than the one obtained in a).
c) What is the magnitude of the force F for which the two objects move with the same acceleration as in part a)? Express your
answer in terms of m, 0, g, and M, as needed.
In your solution, clearly indicate the coordinate axes you will use to write the forces. Include all the relevant free body diagrams and
label the forces with double subscript notation.
Calculator

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