0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Figure shows two blocks A and B, each having a mass of 320 gram connected by a light string passing over a smooth light Pulley. The horizontal surface on which the block a can slide is smooth. The block is attached
1134811_c766f9ea0809480c933bac0f836afe36.png

Solution
Verified by Toppr

Mass of the Block =320gm=0.32kg

g=10ms2n=40cm=0.4mk=40N/m

Kinetic energy =ot

Initial system=0

Let spring make an angle θ and force due to spring T if velocity is V

Then Kinetic energy on Block =2×12mc2=mv2

Now change in KE =mv20=mv2
Elongation in the spring

T=kx where x=ncosecθn

T=K(ncosecθn)...........(1)

Now equation vertical Forces

Tsinθ=mgT=mg/sinθ

K(ncosecθn)=mg/sinθ (from (1))

sinθcosecθsinθ=mg/kh

1sinθ=mg/kh=(0.32×10)/(0.4×40)

sinθ=13.2/16=10.2=0.8

Now wlongation x=4cosecθ4=(n/sinθ)n=0.1

Displacements=ncotθ=0.4×3/4=0.3m

change in KE=work done by all Forces

mv2=mgs12kx2 ( elongation in opp.dir)

v2=2.375v=2.375=1.54ms1

1310679_1134811_ans_5e1a76f13a76435c98396671a46ddd49.png

Was this answer helpful?
5
Similar Questions
Q1
Figure shows two blocks A and B, each having a mass of 320 gram connected by a light string passing over a smooth light Pulley. The horizontal surface on which the block a can slide is smooth. The block is attached
1134811_c766f9ea0809480c933bac0f836afe36.png
View Solution
Q2
The figure shows two blocks A and B, each having a mass of 320 g connected by a light string passing over a smooth light pulley. The horizontal surface on which the block A can slide is smooth. The block A is attached to a spring of spring constant 40 N/m whose other end is fixed to a support 40 cm above the horizontal surface. Initially, the spring is vertical and unstretched when the system is released to move. Find the horizontal distance covered by the block A at the instant it breaks off the surface below it.
Take g=10 m/s2.


View Solution
Q3
Figure (8-E12) shows two blocks A and B, each of mass of 320 g connected by a light string passing over a smooth light pulley. The horizontal surface on which the block A can slide is smooth. Block A is attached to a spring of spring constant 40 N/m whose other end is fixed to a support 40 cm above the horizontal surface. Initially, the spring is vertical and unstretched when the system is released to move. Find the velocity of the block A at the instant it breaks off the surface below it. Take g = 10 m/s2.
View Solution
Q4

Figure shows two blocks A and B, each having a mass of 320 g connected by a light string passing over a smooth light pulley. The horizontal surface on which the block A can slide is smooth. The block A is attached to a spring of spring constant 40 N/m whose other end is fixed to a support 40 cm above the horizontal surface. Initially, the spring is vertical and unstretched when the system is released to move. Find the velocity of the block A at the instant it breaks off the surface below it. Take g = 10 m/s2.


View Solution
Q5
A block of mass 1kg is connected by a light string passing over two smooth pulleys placed on a smooth horizontal surface as shown. Another block of 1kg is connected to other end of the string then acceleration of the system and tension in the string are:
136397_79703a84690f475881dea4e6bef2040a.png
View Solution