CENTRE OF GRAVITY ASSIGNMENT

a) Given the velocity and the time,  calculate the acceleration a using the velocity formula of the uniform acceleration motion as follows:

v = a t

An object is dropped, with no initial velocity, above the surface of planet Big Alpha and falls 13.5 meters in 3 seconds. The radius of planet Big Alpha is 5.82×10⁶ meters.

a) What is the acceleration of the falling object?

b) What is the mass of planet Big Alpha?

Determine the y coordinate of centroid of the line in the shape of parabola as shown.

a) 0.514m
b) 1.410m
c) 2.410m
d) 0.10m

10. Volume is best given by ___________
a) Product of mass and density
b) Ratio of mass to density
c) Addition of mass and density
d) Subtraction of mass and density

11. We use sometimes the measures to know the direction of moment. It is done by right handed coordinate system. Which is right about it(consider the mentioned axis to be positive)?
a) Thumb is z-axis, fingers curled from x-axis to y-axis
b) Thumb is x-axis, fingers curled from z-axis to y-axis
c) Thumb is y-axis, fingers curled from x-axis to z-axis
d) Thumb is z-axis, fingers curled from y-axis to x-axis

12. If A is any vector with Ai + Bj + Ck then what is the y-axis component of the vector if we are using the vector math to calculate the centre of gravity?
a) B units
b) A units
c) C units
d) Square root of a sum of squares of the three, i.e. A, B and C

13. If the force vector F acting along the centre of gravity is having its x-axis component being equal to Z N, y-axis component be X N and z-axis component be Y N then vector F is best represented by?
a) Xi + Yj + Zk
b) Yi + Xj + Zk
c) Zi + Yj + Xk
d) Zi + Xj + Yk

14. Which statement is right for force acting by the small particles of the body having it’s vector form as = Ai + Bj + Ck?
a) In rectangular components representation of any vector we have vector F = Ai + Bj + Ck
b) In rectangular components representation of any vector we have vector F = Ax + By + Cz
c) In rectangular components representation of any vector we have vector F = Fx + Fy + Fz
d) In rectangular components representation of any vector we have vector F = Fi + Fj + Fk

15. Determine the x coordinate of centroid of the line in the shape of a parabola as shown.

a) 0.410m
b) 1.410m
c) 2.410m
d) 0.10m