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Modified over 4 years ago
Center of Mass
Consider motion of object as if all mass located at C of G.
Center of Gravity – Average position of weight Average position of mass Center of Mass –
C of M does not have to be on the object.
Locating Center of Gravity
Center of Gravity = Balance Point
m1m1 m2m2 m3m3 m4m4 A Στ A = m 1 gx 1 + m 2 gx 2 + m 3 gx 3 + m 4 gx 4 CM (m 1 +m 2 +m 3 +m 4 ) Στ A = (m 1 + m 2 + m 3 + m 4 )g x CM A
m 1 gx 1 + m 2 gx 2 + m 3 gx 3 + m 4 gx 4 (m 1 + m 2 + m 3 + m 4 )g x CM = m 1 x 1 + m 2 x 2 + m 3 x 3 + m 4 x 4 + … x CM = --------------------------------- m 1 + m 2 + m 3 + m 4 + …
Calculating CM 2- dimensions Platform: 6.0 m x 6.0 m 100. kg 500. kg masses @ 3 corners CM?
Toppling Object is stable if its CG is above its base of support.
More stability if CG is low and base of support is wide.
Calculating Angle of Stability θ h b θ tan θ = h/bθ = tan -1 (h/b)
5.0 cm 8.0 cm To what angle can the block tip before it topples over? 58º
If CG is underneath base of support, object remains stable.
What is Matter? Chapter 2 Section 1.
Matter: Matter is any substance or material that occupies space and has mass. Matter can exist as a Solid, Liquid or Gas. These are called the three states.
Session System of Particle - 3. Session System of Particle - 3.
Pulleys at an Angle. FBD-S m 1 = 100 kg m 2 = 300 kg 30° vivi 0 t10 s θ30° µ0 m1m1 100 kg m2m2 300 kg No Friction.
BA A = turning point B = position of 3 rd wheel/trace, mid way along beam C= possible counterweight position, above 3 rd wheel/trace C 0.87m Beams 0.9t.
University Physics: Mechanics
Physics Subject Area Test
Find the tension T in each cable and the magnitude and direction of the force exerted on the strut by the pivot in each of the arrangements in Fig. below.
Newton’s First & Second Law
Chapter 10 Center of Gravity
ME 302 DYNAMICS OF MACHINERY
Force Diagrams and Calculations More Math!!!. Force Diagram 1 Are the forces acting on this object balanced or unbalanced? What is the net force acting.
Forces & Motion.
Measuring Mass Mass is the amount of matter in an objectMass is the amount of matter in an object Matter is some thing that has mass and takes up spaceMatter.
MASS AND WEIGHT DEFINITIONS Mass - the amount of matter an object has. Matter- something that has mass and takes up space. Weight- is the amount of mass.
L-10(M-9) torque and rotational inertia We consider the rotation of rigid bodies. A rigid body is an extended object in which the mass is distributed.
Foundations of Physics
Motion on an Inclined Plane Lesson #6. Example Problem A skier weighing 562 N is resting on an incline of 30 degrees above the horizontal, with her poles.
Centre of Mass Created by J Harris
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