- #1

Nexus99

- 103

- 9

- Homework Statement
- A trolley with a triangular section, as in figure (angles at the base α and β), has a

mass M and rests on a horizontal plane without friction, on which it is free of

move. On the inclined planes corresponding to two of its sides are supported two

masses m1 and m2. These are connected together by an inextensible and massless wire, and

they can slide freely and without friction. Determine the acceleration of the trolley. Especially consider the case α = β.

- Relevant Equations
- Newton's principles

Tried to solve it in this way:For mass M i used a reference with x-axis parallel to the ground:

## Ma = N_1 sin α − N_2 sin β ##

While for mass ## m_1 ## and ##m_2## i choose two different references with x-axis parallel to the plane and y-axis perpendicular to it.

Force perpendicular to the plane:

Relative acceleration is zero, so acceleration is equal to the projection of the absolute acceleration

## m_1 (−a sin α) = N_1 − m_1g cos α ##

## m_2 (a sin β) = N_2 − m_2g cos β ##

Force parallel to the plane:

In this case we have a relative acceleration

## m_1(a cos α + a_x) = T - m_1 g sin α ##

## m_2(a cos β + a_x) = - T + m_2 g sin β ##

Is it right for now, or am i missing something?

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