Question

Three blocks A,B & C are arranged as shown. Pulleys and
If block C is observed moving down along the incii
and accelerations ofA, B as the system is released from rest.
uc arranged as shown. Pulleys and strings are ideal. All surfaces are frictionless.
vea moving down along the incline at 1 m/s2. Find mass of block B, tension in string
​

Answer 1

Answer:

for A

2T=6a

for B

T-mg=ma

For C

30 sin37-T=3a

As this a=3ms^-2

but question says a=1ms^-2

then.Absolutely this incline or upper Plane should have a friction

Explanation:

use F=ma

Answer 2

Given: 3 blocks arranged as pulley in the figure

To Find: the mass of block B, tension in string

​Explanation:

On 3 kg

18 -T =m × a

18 - T = 3 × 1

18 - T = 3             (1)

     ∴ T = 15 N

On B

T - mg = m × a    (2)

T - 10m = m × a

On A

2T = 6 × a'            (3)

 T/3 = a'

∴ a = 1-2a'

  a = 1 - 2/3 T

  T - 10 m = m - 2mT/3

                = 11m

∴ T = 15 ( from 1)

  15 ( 1 + 2m/3) = 11m

  15 + 10m = 11m

   ∴ m = 15 kg

Answer = 15 kg