The velocity of a particle executing SHM varies with displacement (x) as 4 v2=50-x2. The time period of oscillations is (x/7) s. The value of x is (. Take .π=(22/7))

Question

The velocity of a particle executing SHM varies with displacement (x) as 4 v2=50-x2. The time period of oscillations is (x/7) s. The value of x is (. Take .π=(22/7)) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

4 v 2=50- x 2 ⇒ v =(1/2) √50- x 2 ω=(1/2) T =(2 π/ω)=4 π=(88/7) x =88

Q. The velocity of a particle executing SHM varies with displacement $(x)$ as $4 v^{2} = 50 - x^{2}$ . The time period of oscillations is $\frac{x}{7} s$ . The value of $x$ is _______ $($ Take $π = \frac{22}{7})$

$4 v^{2} = 50 - x^{2}$
$\Rightarrow v = \frac{1}{2} 50 - x^{2}$
$ω = \frac{1}{2}$
$T = \frac{2 π}{ω} = 4 π = \frac{88}{7}$
$x = 88$

Q. The velocity of a particle executing SHM varies with displacement (x) as 4v2=50−x2. The time period of oscillations is 7x​s. The value of x is _______( Take π=722​)

4v2=50−x2 ⇒v=21​50−x2​ ω=21​ T=ω2π​=4π=788​ x=88

Q. The velocity of a particle executing SHM varies with displacement $(x)$ as $4 v^{2} = 50 - x^{2}$ . The time period of oscillations is $\frac{x}{7} s$ . The value of $x$ is _______ $($ Take $π = \frac{22}{7})$

$4 v^{2} = 50 - x^{2}$
$\Rightarrow v = \frac{1}{2} 50 - x^{2}$
$ω = \frac{1}{2}$
$T = \frac{2 π}{ω} = 4 π = \frac{88}{7}$
$x = 88$