1. yes the arcs are of different radius, but you have the CM of the arcs, so you can consider the mass of the arcs are all lying on the y axis, all you have to do is calculate the CM of these "CMs"
2. laminar means layer or plane etc. Just think that a semi circle is formed with many sectors...
just consider the disk is formed with many semi circular arcs
and for the converse case ,
there are 2 methods
1. consider the CM a semi circular shell, ie. a (disk) - (another disk with smaller radius), then take limit for the radius of the small one approach the bigger one
2. consider the...
nvm the problem is solved,
what i don't know before is that
if the solid can rest on any curve surface, the center of mass must lies on the contact surface of the cone and hermishpere
thx for helping anyway
i am trying , but one question
if the "Newtons law" is wrong, then i can never solve sinA
that means i hv 2 equations only, equation 1 and (s+a)^2=a^2+d^2
but i have 3 unknowns s, a, d is it possible to solve them?
i am quite confuse here,
1.Isnt that your "conservation of PE" equation is exactly like mine?
m2gd = 2m1gs 2*m1*g*s-m2*g*d=02.how can i know that it will rebound, and what is providing for the upward force?
thx for replying,
i am very close to the answer, but i find that there is something wrong, i don't know if it is because of my calculation or my concept
let the distance fallen of m2 be d
and the distance raised of m1 be s
by conservation of energy
m2gd = 2m1gs---------1
by...
thx for replying :smile:
let the height of the cone be h and the ground be my reference point
Center of mass(CM) of the solid
CM of the hermisphere * Volume of hemishphere + CM of the cone * Volume of the cone
over the total Volume of the solid=...
Homework Statement
A uniform solid consist of a hemisphere of radius r and a right circular cone of base radius r fixed together so that their planes are coincident. If the solid can rest in equilibrium with any point of the curved surface of the hemisphere in contact with a horizontal plane...
Homework Statement
A light inelastic string passes round two small smooth pulleys A and B in the same horizontal line at a distance 2a apart, and carries masses m1 at each end and a mass m2(<2m1) at its middle point. The system is released from rest with m2 at the middle point of AB
By...