Find the x coordinate xcmx_cm of the center of mass of the

system. Express your answer in terms of m1

, m2

, x1

, and x2

. m m x x X_cm= ? 2- If m2?m1 ,

then the center of mass is located: m m If ,

then the center of mass is located:

to the left of m1 at a

distance much greater than x2?x1

to the left of m1 at a

distance much less than x2?x1

to the right of m1 at a

distance much less than x2?x1

to the right of m2 at a

distance much greater than x2?x1

to the right of m2 at a

distance much less than x2?x1

to the left of m2 at a

distance much less than x2?x1

3-

Recall that the blocks can only move along the x axis.

The x components of their velocities at a certain moment

are

and

. Find the component of

the velocity of the center of mass

at that moment. Keep in mind that, in general:

.

Express your answer in terms of m1

, m2

, v1x

, and v2x

. (V_cm)x=

4-

Assume that the x components of the blocks’ momenta at

a certain moment are

and

. Find the x component of the velocity of the center of

mass

at that moment.

Express your answer in terms of

,

,

, and

. V_cm=?

5- Assume that the blocks are accelerating, and the x

components of their accelerations at a certain moment are

a1x

and a2x

. Find the x component of the acceleration of the center

of mass (acm)x

at that moment. Keep in mind that, in general,

ax=dvx/dt

.

Express your answer in terms of m1

, m2

, a1x

, and a2x

.