a) draw free body diagrams for the two masses. identify coordinate systems for each of the...
a) draw free body diagrams for the two masses. identify coordinate systems for each of the masses.
b) sum of the forces for m1
sum of the forces for m2
c) calculate the acceleration of the blocks. check your result in the limit m1=m2=m
d) what is the tension in the rope? check your result in the limit m1=m2=m
Homework Answers
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a) draw free body diagrams for the two masses. identify
coordinate systems for each of the...
Pre-Lab Assignment 1. Draw separate free-body diagrams for each of the masses from Figure 6.1. Assume...
Pre-Lab Assignment 1. Draw separate free-body diagrams for each of the masses from Figure 6.1. Assume that mi > m2. Figure 6.1 2. Using the free-body diagrams for each mass, m, and m2, develop an equation for the acceleration of the system, in terms of mì, m, and g. Do this by using Newton's second law in the vertical direction to analyze each mass separately. This will give two equations that can be solved for acceleration. Hint: You may find...
More details and instructions in picture below 1) draw the forces acting on each mass *pulleys...
More details and instructions in picture below
1) draw the forces acting on each mass *pulleys are "ideal".
(use appropriate coordinate systems)
2) sum the forces in x,y and find acceleration
Free Body Diagram. Three masses mi, m2, and m3 are attached by a light rope that does not stretch. The rope goes over two massless and frictionless pulleys. Draw the complete free body diagram on each of the three masses. The coefficient of kinetic friction between mi and the...
Answer all parts 1.(50 points) Two blocks of masses Mi and M2 hang one under the...
Answer all parts
1.(50 points) Two blocks of masses Mi and M2 hang one under the other as shown in the figure below. For this problem, take the positive direction to be upward and use g for the magnitude of the acceleration due to gravity 72 Fore parts a-c assume that the blocks are at rest. (10 points) Draw a free body diagram for each block separately and clearly identify your a) b) (10 points) Find the tension T2 in...
3- Two blocks with masses M, and M2 hang one under the other. For this problem,...
3- Two blocks with masses M, and M2 hang one under the other. For this problem, take the positive direction to be upward, and use g for the magnitude of the acceleration due to gravity. or Parts A and B assume the blocks are at rest. T: M T: M a- Find T2, the tension in the lower rope. Express your answer in terms of some or all of the variables M1, M2, and g. (6 pts) b- Find T.,...
Awood's Machine EXTENSIONS 1. Draw a free body diagram of and another free body diagram of...
Awood's Machine EXTENSIONS 1. Draw a free body diagram of and another free body diagram of Using these diagrams, apply Newton's second law to each mass. Assume that the tension is the same on each mass and that they have the same acceleration. From these two gustionsfind an expression for the acceleration of min terms of m m and Compare the expression to your result in Step 5 of Analysis (Attach sheet) For each of the experimental runs you made,...
Lab 8: A Pulley and Two Masses M = 1.5 kg and m = 0.5 kg....
Lab 8: A Pulley and Two Masses M = 1.5 kg and m = 0.5 kg. Assume friction is negligible and that both the string and pulley are ideal. What will be tension in the rope? What will the acceleration be? M m 47 1493 Lab 8: Must Haves .) Draw separate free body diagrams for each block, include separately net force vector for each block. ) For each free body diagram, choose the coordinate system carefully so it that...
4. Consider two blocks of masses m 2.00 kg and m2-3.00 kg which are connected by...
4. Consider two blocks of masses m 2.00 kg and m2-3.00 kg which are connected by a string. They are both resting in static equilibrium on opposite inclines of a frictionless triangle with angles 0 60° for m and 02 for m2 which needs to be determined in this problem. a. Draw a sketch of this problem showing the masses and the angles of the inclines b. Draw the free body diagrams for both masses, indicating which coordinate system you...
Two objects are connected as shown. The objects have masses m1-3.85 kg and m2 8.39 kg....
Two objects are connected as shown. The objects have masses m1-3.85 kg and m2 8.39 kg. Draw a free-body diagram for each block. Determine the acceleration of the system, in m/s2. Answer Check Determine the tension in the string, in newtons. Answer
2: An automobile is traveling on a rough road (1) Draw the free-body diagrams of the...
2: An automobile is traveling on a rough road (1) Draw the free-body diagrams of the two masses and set up the equations of motion using the vertical displacements of the two masses. Note that the base excitation function y(t) is also in the vertical direction. Put the equations in matrix form Identify the mass matrix and stiffness matrix (2) Solve the structural eigenvalue problem to find the natural frequencies and mode kN shapes considering such data: m1 1000 kg,...
5. A simple Atwood machine consists of two masses m1 and m2 that are connected by...
5. A simple Atwood machine consists of two masses
m1 and m2 that are
connected by a string wound over a pulley, as seen in the figure
below. Assume m2 is larger than
m1. Motion in the upward direction is positive.
On a piece of paper, draw two free body diagrams; one for each of
the masses, showing all forces acting on each mass. Then answer the
following questions.
(b) Using the direction rosette indicate the direction for each
of...
Pre-Lab Assignment 1. Draw separate free-body diagrams for each of the masses from Figure 6.1. Assume that mi > m2. Figure 6.1 2. Using the free-body diagrams for each mass, m, and m2, develop an equation for the acceleration of the system, in terms of mì, m, and g. Do this by using Newton's second law in the vertical direction to analyze each mass separately. This will give two equations that can be solved for acceleration. Hint: You may find...
More details and instructions in picture below
1) draw the forces acting on each mass *pulleys are "ideal".
(use appropriate coordinate systems)
2) sum the forces in x,y and find acceleration
Free Body Diagram. Three masses mi, m2, and m3 are attached by a light rope that does not stretch. The rope goes over two massless and frictionless pulleys. Draw the complete free body diagram on each of the three masses. The coefficient of kinetic friction between mi and the...
Answer all parts
1.(50 points) Two blocks of masses Mi and M2 hang one under the other as shown in the figure below. For this problem, take the positive direction to be upward and use g for the magnitude of the acceleration due to gravity 72 Fore parts a-c assume that the blocks are at rest. (10 points) Draw a free body diagram for each block separately and clearly identify your a) b) (10 points) Find the tension T2 in...
3- Two blocks with masses M, and M2 hang one under the other. For this problem, take the positive direction to be upward, and use g for the magnitude of the acceleration due to gravity. or Parts A and B assume the blocks are at rest. T: M T: M a- Find T2, the tension in the lower rope. Express your answer in terms of some or all of the variables M1, M2, and g. (6 pts) b- Find T.,...
Awood's Machine EXTENSIONS 1. Draw a free body diagram of and another free body diagram of Using these diagrams, apply Newton's second law to each mass. Assume that the tension is the same on each mass and that they have the same acceleration. From these two gustionsfind an expression for the acceleration of min terms of m m and Compare the expression to your result in Step 5 of Analysis (Attach sheet) For each of the experimental runs you made,...
Lab 8: A Pulley and Two Masses M = 1.5 kg and m = 0.5 kg. Assume friction is negligible and that both the string and pulley are ideal. What will be tension in the rope? What will the acceleration be? M m 47 1493 Lab 8: Must Haves .) Draw separate free body diagrams for each block, include separately net force vector for each block. ) For each free body diagram, choose the coordinate system carefully so it that...
4. Consider two blocks of masses m 2.00 kg and m2-3.00 kg which are connected by a string. They are both resting in static equilibrium on opposite inclines of a frictionless triangle with angles 0 60° for m and 02 for m2 which needs to be determined in this problem. a. Draw a sketch of this problem showing the masses and the angles of the inclines b. Draw the free body diagrams for both masses, indicating which coordinate system you...
Two objects are connected as shown. The objects have masses m1-3.85 kg and m2 8.39 kg. Draw a free-body diagram for each block. Determine the acceleration of the system, in m/s2. Answer Check Determine the tension in the string, in newtons. Answer
2: An automobile is traveling on a rough road (1) Draw the free-body diagrams of the two masses and set up the equations of motion using the vertical displacements of the two masses. Note that the base excitation function y(t) is also in the vertical direction. Put the equations in matrix form Identify the mass matrix and stiffness matrix (2) Solve the structural eigenvalue problem to find the natural frequencies and mode kN shapes considering such data: m1 1000 kg,...
5. A simple Atwood machine consists of two masses
m1 and m2 that are
connected by a string wound over a pulley, as seen in the figure
below. Assume m2 is larger than
m1. Motion in the upward direction is positive.
On a piece of paper, draw two free body diagrams; one for each of
the masses, showing all forces acting on each mass. Then answer the
following questions.
(b) Using the direction rosette indicate the direction for each
of...
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