1 kg at origin, 2 kg at x = 5 cm, and 2 kg at x = 10 cm. The distance of the centre of mass of the system from the origin is *1 point10 cm12 cm6 cmNone of the above
Question
1 kg at origin, 2 kg at x = 5 cm, and 2 kg at x = 10 cm. The distance of the centre of mass of the system from the origin is *1 point10 cm12 cm6 cmNone of the above
Solution
The center of mass (COM) of a system of particles is given by the formula:
COM = (m1x1 + m2x2 + m3*x3) / (m1 + m2 + m3)
where m1, m2, m3 are the masses of the particles and x1, x2, x3 are their respective distances from the origin.
In this case, m1 = 1 kg, m2 = 2 kg, m3 = 2 kg, x1 = 0 cm (since it's at the origin), x2 = 5 cm, and x3 = 10 cm.
Substituting these values into the formula, we get:
COM = (10 + 25 + 2*10) / (1 + 2 + 2) = (0 + 10 + 20) / 5 = 30 / 5 = 6 cm
So, the distance of the center of mass of the system from the origin is 6 cm.
Similar Questions
A 5.00 kg mass is located at (1.0 m, 0.00 m, 3.00 m), a 2.00 kg mass is located at (0.00 m, 3.00 m, −2.00 m), and a 3.00 kg mass is located at (−1.0 m , −2.00 m , 0.00 m). The center of gravity of the system of masses is
Determine the centre of mass coordinatesof a system of two objects of masses 3.0 kgand 15 kg, respectively, kept at a distanceof 2.0 m from one another.
Two bodies of masses 0.5 kg and 1 kg are lying in the X-Y plane at points (-1, 2) and (3,4) respectively. Locate the center of mass of the system*1 point(1.67, 3.33)(3, 1)(3.33, 1.67)(16.7, 33.3)
A 3.00 kg mass is located at x = 2.0 cm and y = 0.0 cm. A 3.00 kg mass is located at x = 0.0 cm and y = 2.0 cm. A 4.00 kg mass is located at x = 3.0 cm and y = −3.0 cm. Where is the location of the center of mass?
Two bodies of masses 4 kg and 5 kg are kept at fixed locations having position vectorsrespectively. The position vector of centre of mass of this system is
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.