Question

In: Physics

!. What is the center of mass (COM) of an object? 2. Where is the center...

!. What is the center of mass (COM) of an object? 2. Where is the center of mass located on an object? What factors influence its location? 3. List at least 2 ways to find or locate the center of mass of an object? 4.How does symmetry affect the location of an object's center of mass? 5. What does COM have to do with stability of an object, and whether it falls over? 6. Put your heels against a wall, and without bending your knees, touch your toes, Explain what happened below. Explain why it may happen to somaone else?

Solutions

Expert Solution

1) Center of mass is a point at which all the mass can be considered to be concentrated.The concept of center of mass is that of an average of masses factored by their distances from reference point.

2) Center of mass is position which is represented relative to an object or system of objects.It is average position of all parts of the system, weighted according to their masses.For simple rigid objects with uniform density center of mass located at the centeroid.

Distribution of mass i.e. amount of mass and it's distance from reference point influence location of center of mass.

3) Ways of finding Center of mass of an object-

For an object with uniform density one can find Center of mass by finding Centeroid.

For discrete point mass m1 and m2 at distance x1 and x2 from reference frame Center of mass located at

For continuous distribution of mass it is

Xcm=

"/" represents division.

4)It is easy to calculate location of center of mass for symmetric object.Center of mass for symmtric object lies on axis of symmetry and on plane of symmetry if object has uniform density.Thus symmetry plays an important role.

PLEASE RATE THE ANSWER....

FOR OTHER SUBPARTS UPLOAD SEPARATELY.


Related Solutions

1. First, an object 1 with mass m and an object 2 with mass 2 m...
1. First, an object 1 with mass m and an object 2 with mass 2 m are moving on a straight line at velocities v1i = 1.00 m / s and v2i = -2.00 m / s. Two objects collided inelastically, and the velocities of object 1 and object 2 changed to v1f and vf2, respectively. The velocity is positive in the right direction, and no external force is acting on these two objects. Find v1f and vf2 for cases...
12. Object 1 has twice the mass of Object 2. Object 2 has the same momentum...
12. Object 1 has twice the mass of Object 2. Object 2 has the same momentum as Object 1. Which of the following is true? a. One object has 0.707 times the kinetic energy of the other. b. One object has twice the kinetic energy of the other. c. One object has 4 times the kinetic energy of the other. d. Both objects have the same kinetic energy.
An object of mass m is in a circular orbit another heavier object of mass M....
An object of mass m is in a circular orbit another heavier object of mass M. The radius of the orbit is R. (a) Derive the speed of the orbiting object. (b) Use this speed to derive the period of the circular orbit. (c) Use your answer and the provided value to determine the period of Earth’s orbit around the Sun based on our simplified circular motion model. Compare this to the actual value which you can look up. Use...
An object of mass m1 approaches with velocity v1 another object of mass m2, which is...
An object of mass m1 approaches with velocity v1 another object of mass m2, which is at rest, next to a spring having force constant k. The spring is fixed to a wall and m2 can compress the spring. This is one-dim horizontal collision without friction. We consider two collision scenarios, one which is perfectly inelastic, and the other which is elastic. (a) In the first collision case the object m1 strikes m2 and sticks. Moving together, they compress the...
What is the mass of the black hole at the center of our galaxy if a...
What is the mass of the black hole at the center of our galaxy if a star orbiting 0.0025 pc away has an orbital period of 7 years? Be careful of units here.
What is the classical and relativistic momentum of an object with a mass of 5 kg...
What is the classical and relativistic momentum of an object with a mass of 5 kg moving at a speed of 0.8c?
Determine the location of the center of mass of the region bounded above x^2 + y^2...
Determine the location of the center of mass of the region bounded above x^2 + y^2 = 100 and below y = 6. Assume the region has a uniform density. Two answer I got were (0, -64/9) & (0, ((2048/3)/100arcsin(4/5)) -48))
Find the center of mass of the solid bounded by z = 4 - x^2 -...
Find the center of mass of the solid bounded by z = 4 - x^2 - y^2 and above the square with vertices (1, 1), (1, -1), (-1, -1), and (-1, 1) if the density is p = 3.
An object with a charge of -3.2 μC and a mass of 4.5×10−2 kg experiences an...
An object with a charge of -3.2 μC and a mass of 4.5×10−2 kg experiences an upward electric force, due to a uniform electric field, equal in magnitude to its weight. Find the magnitude of the electric field. Express your answer using two significant figures. Find the direction of the electric field. If the electric charge on the object is doubled while its mass remains the same, find the direction and magnitude of its acceleration. Express your answer using three...
An object of mass m=4.00 kg is acted on by a 2-D force of the form:...
An object of mass m=4.00 kg is acted on by a 2-D force of the form: F=C(x^2y^2,xy^3), where the coordinates are given in meters and the constant C=62.4 N/m^4. a.) calculate the work that F does on an object if it moves from the origin to the point (2,2) along a straight line path (the shortest possible path). b.) calculate the work that F does on the object if it moves between the two same points, but along a different...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT