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Mass m1 on a frictionless horizontal table is connected
to mass m2 by means of a very light pulley P1 and a light
fixed pulley P2 as shown in Figure 1. (a) If a1 and a2
are the accelerations of m1 and m2 , respectively, what is
the relationship between these accelerations? Express
(b) the tensions in the strings and (c) the accelerations
a1 and a2 in terms of the masses m1 and m2 and g.
Now I set up following equations
m[2]g  T[2] = m[2]a[2]
where a[2] is downward acceleration of m[2].
Also T[1]=m[1](a[r]+a[2])
where a[r] is acceleration of m[1] relative to P1. I have attached the Figure 1.
Now I have no idea how to proceed. I have to solve for T[1], T[2] and a[2] and
a[1]=a[r]+a[2] in terms of m[1], m[2] and g. Please help
to mass m2 by means of a very light pulley P1 and a light
fixed pulley P2 as shown in Figure 1. (a) If a1 and a2
are the accelerations of m1 and m2 , respectively, what is
the relationship between these accelerations? Express
(b) the tensions in the strings and (c) the accelerations
a1 and a2 in terms of the masses m1 and m2 and g.
Now I set up following equations
m[2]g  T[2] = m[2]a[2]
where a[2] is downward acceleration of m[2].
Also T[1]=m[1](a[r]+a[2])
where a[r] is acceleration of m[1] relative to P1. I have attached the Figure 1.
Now I have no idea how to proceed. I have to solve for T[1], T[2] and a[2] and
a[1]=a[r]+a[2] in terms of m[1], m[2] and g. Please help
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