A body of mass m is rotated at uniform speed along vertical circle with help of light string. If T 1, T 2 are tensions in the string when the body is crossing highest and lowest point of vertical circle respectively then which of following expression is correct.

Question

A body of mass m is rotated at uniform speed along vertical circle with help of light string. If T 1, T 2 are tensions in the string when the body is crossing highest and lowest point of vertical circle respectively then which of following expression is correct. (A) T2-T1=6 mg (B) T2-T1=4 mg (C) T2-T1=2 mg (D) T2-T1=m g

Tardigrade Admin · Accepted Answer

T1=(m v2/r)-m g T2=(m v2/r)+m g Then T2-T1=2 mg

Q. A body of mass $m$ is rotated at uniform speed along vertical circle with help of light string. If $T_{1}, T_{2}$ are tensions in the string when the body is crossing highest and lowest point of vertical circle respectively then which of following expression is correct.

$T_{2} - T_{1} = 6 m g$

$T_{2} - T_{1} = 4 m g$

$T_{2} - T_{1} = 2 m g$

$T_{2} - T_{1} = m g$

$T_{1} = \frac{m v ^{2}}{r} - m g$
$T_{2} = \frac{m v ^{2}}{r} + m g$
Then $T_{2} - T_{1} = 2 m g$

Q. A body of mass m is rotated at uniform speed along vertical circle with help of light string. If T1​,T2​ are tensions in the string when the body is crossing highest and lowest point of vertical circle respectively then which of following expression is correct.

T2​−T1​=6mg

T2​−T1​=4mg

T2​−T1​=2mg

T2​−T1​=mg