CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the acceleration of the 500g block in figure.
1090996_66b03d8b35d746f181d0b54896f1e0af.png

Open in App
Solution

Here, g is acceleration due to gravity
gm unit of mass in CGS unit.
kg is kilogram, unit of mass in SI unit
T1 is the tension on the string connecting A and B
T2 is the tension on the string connecting B and C
a is the acceleration of the system.
-----------------------------------------------------------------------------------
Now write the equation of motion for the three masses.

for mass C,
(0.5 kg)gT2=0.5 kg(a)

0.5gT2=0.5a ------------------------------------(1)

for mass B,
T2(0.1 kg)g(sin(30))T1=0.1 kg(a)

T20.1g(sin(30))T1=0.1a -----------------(2)

for mass A,
T1(0.05 kg)g=0.05 kg(a)

T10.05g=0.05a --------------------------------(3)

Now, add equation (3) and (2).
T20.05g0.1g(sin(30))=0.1a+0.05a

T20.05g0.1g(sin(30))=0.15a ------------(4)

Now add equation (4) and (1).
0.5g0.05g0.1g(sin(30))=0.15a+0.5a

0.5g0.05g0.1g(sin(30))=0.65a

a=0.5g0.05g0.1g(sin(30))0.65

a=6.03 m/s2

so, the acceleration of 500 gm mass is a=6.03 m/s2 in the downward direction.

1018623_1090996_ans_8fed969185c64ef783dcb7c2b7b1962c.png

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Springs: Playing with a Slinky
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon