Center of Mass

A uniform rod rests on a pivot at its centre. The rod is not attached to the pivot. Forces are then applied to the rod in four different ways, as shown. The weight of the rod can be ignored.

Which diagram shows the rod in equilibrium?

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Where is the center of mass of this image? Just look!

• at 20 mark

• at 42.5 mark

• at 50 mark

• at 100 mark

If m1 = 3 kg, m2 = 4 kg, and m3 = 2 kg, find the center of mass of the system as an ordered pair (x, y). Type in your answer using whole numbers only. Signs matter!

A system consists of two particles at different locations near the origin. Particle 1 has a mass of 7.89 kg and is located on the x-axis at x = –5.0 m while Particle 2 has 9.75 kg mass and is located at y = +8.0 m. What is the center of the mass of the two particles at x – axis?

• x = -1.68 mi

• x = -2.24 mi

• x = 2.18 mi

• x = 4.82 mi

A system consists of two particles at different locations near the origin. Particle 1 has a mass of 7.89 kg and is located on the x-axis at x = –5.0 m while Particle 2 has 9.75 kg mass and is located at y = +8.0 m. What is the center of the mass of the two particles at y – axis?

• y = 4.42 mj

• y = - 3.21 mj

• y = 5.03 mj

• y = - 1.25 mj

Where will be the centre of mass of a uniform rod lies ?

• At its end

• At its middle point

• At its centre of its cross sectional area

• Depends upon its material

A heavy truck on wheels has a platform to attach to it. A man stands on the platform. The truck does not fall over. Which position A, B, C, or D could be the centre of mass of the whole system (truck, platform and man) ?

• A

• B

• C

• D

Tags

NGSS.MS-PS2-1

NGSS.MS-PS2-2

Two trucks are parked along a straight road. One truck has a mass of 8,000 kg and is located 20 m from a reference point. The second truck has a mass of 12,000 kg and is located 50 m from the same reference point. Where is the center of mass of the system?

• 35 m

• 38 m

• 42 m

• 46 m

An air track glider of mass M is built, consisting of two smaller connected gliders with a small explosive charge between them. The glider is traveling along a frictionless rail at 2 m/s to the right when the charge is detonated, causing the small glider with mass 1/4 M to move off to the right at 5 m/s. What is the final velocity of the second glider?

• 4 m/s to the left

• 2m/s to the left

• 1 m/s to the left

• 0 m/s

• 1 m/s to the right

Tags

NGSS.MS-PS2-1

NGSS.MS-PS2-2

A uniform disc is placed on a horizontal surface. Where is the center of mass of the disc located?

• At the center of the disc

• At the edge of the disc

• Above the disc

• Below the disc