- #1
Frouel
- 8
- 0
- Homework Statement
- Consider the layout shown in the figure. ˙
A roller with a mass m_w and radius and moment inertia about the axis of rotational symmetry
I = ((m_w)R^2)/2 rolls without slippage and without rolling friction on an inclined plane (with an angle of inclination α) parts of the block, and the block of mass m_k moves without friction on the stationary table. The mass of the weight is m_c.
a) for the data m_k, m_c, R, α determine the mass of the cylinder
m_w, at which the cylinder can rest relative
block demo;
b) for the data m_w, m_k, R, α, determine the mass of the mass m_c at which the block may rest
to the table;
c) for (any) data m_k, R, m_w, α and
block acceleration a_k find the mass of the weight
m_c.
The acceleration due to gravity is g
- Relevant Equations
- a = gsina.
I = ((m_w)R^2)/2
a = m_c*g/(m_c+m_k+m_w)
I attended to many attemps and I not able to find out no dependencies in this layout. Does someone can show me how to solve this problem step by step? What we must take into considarion in solving such tasks?. How to start?. I got stuck.
This task is from Polish Physics Olympics.
This task is from Polish Physics Olympics.