Answer:
If a vertical line extending down from an object's CG extends outside its area of support, the object will topple
Explanation:
We can understand better this situation using a diagram with the forces acting on it.
In the attached image we can see that when the gravity center is bouncing outside from the area of the pedestal, the object will be out of balance and will fall.
Answer:

Explanation:
We know the mass of the hole, so we define as,
kg
For which centripetal force is equal to gravitational force

Angular velocity is equal to v/r,

As r=1 and w=1, we clear to d,
m

Answer:

Explanation:
given,
mass of the cart 1, m₁ = 310 g
speed of car 1 , v₁ = 1.25 m/s
mass of cart 2, m₂ = 260 g
speed of cart 2, v₂ = -1.33 m/s
speed of center of mass




Hence, speed of center of mass of the system is equal to 0.0732 m/s
m₁ = mass of sample of copper = m₂ = mass of sample of aluminum = 5 g
T = initial temperature of copper = initial temperature of aluminum
T₁ = final temperature of copper
T₂ = final temperature of aluminum
c₁ = specific heat of copper = 0.09 cal/g°C
c₂ = specific heat of aluminum = 0.22 cal/g°C
Since both receive same amount of heat, hence
Q₁ = Q₂
m₁ c₁ (T₁ - T) = m₂ c₂ (T₂ - T)
(5) (0.09) (T₁ - T) = (5) (0.22) (T₂ - T)
T₁ - T = (2.44) (T₂ - T)
Change in temperature of copper = (2.44) change in temperature of aluminum
hence the correct choice is
c. The copper will get hotter than the aluminum.