Question:
A block of mass 5 kg resting on a horizontal surface is connected by a cord, passing over a light frictionless pulley to a hanging block of mass $5\, kg$. The coefficient of kinetic friction between the block and the surface is 0.5. Tension in the cord is : $(g = 9.8 \,m/sec^2)$
A block of mass 5 kg resting on a horizontal surface is connected by a cord, passing over a light frictionless pulley to a hanging block of mass $5\, kg$. The coefficient of kinetic friction between the block and the surface is 0.5. Tension in the cord is : $(g = 9.8 \,m/sec^2)$
Updated On: Jun 8, 2024
- $49\, N$
- Zero
- $36.75\, N$
- $245\, N$
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The Correct Option is C
Solution and Explanation
For block A,
$T=\mu N=5a$ $N=5g$
For block B,
$5g-T=5a$
$\Rightarrow T = 36.75N, a = 2.45\, m/sec^{2}$
$T=\mu N=5a$ $N=5g$
For block B,
$5g-T=5a$
$\Rightarrow T = 36.75N, a = 2.45\, m/sec^{2}$
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Concepts Used:
Tension
A force working along the length of a medium, especially if this force is carried by a flexible medium like cable or rope is called tension. The flexible cords which bear muscle forces to other parts of the body are called tendons.
Net force = 𝐹𝑛𝑒𝑡 = 𝑇−𝑊=0,
where,
T and W are the magnitudes of the tension and weight and their signs indicate a direction, be up-front positive here.
Read More: Tension Formula