A block P of mass m is placed on a frictionle | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) When two blocks perform simple harmonic motion together,the system acts as a single body of mass $2m$ attached to a spring of constant $k$.The acc

Vedclass · Accepted Answer

$\frac{kA}{2}$

Vedclass · Answer

(B) When two blocks perform simple harmonic motion together,the system acts as a single body of mass $2m$ attached to a spring of constant $k$.The acceleration of the system at any displacement $x$ is given by $a = -\omega^2 x$,where $\omega^2 = \frac{k}{2m}$.At the extreme position,the displacement is $x = A$,so the magnitude of acceleration is $a_{max} = \omega^2 A = \frac{k}{2m} A = \frac{kA}{2m}$.The friction force $f$ acting on block $P$ provides the necessary acceleration to it. Since block $P$ has mass $m$,the friction force is $f = m \cdot a$.At the extreme position,the friction force reaches its maximum value: $f_{max} = m \cdot a_{max} = m \left( \frac{kA}{2m} \right) = \frac{kA}{2}$.

Similar Questions

$A$ particle of mass $m$ is attached to three identical massless springs of spring constant $k$ as shown in the figure. The time period of vertical oscillation of the particle is

Two identical springs of constant $K$ are connected in series and parallel as shown in the figure. $A$ mass $M$ is suspended from them. The ratio of their frequencies in series to parallel combination will be

The force-deformation equation for a nonlinear spring fixed at one end is $F = 4x^{1/2}$,where $F$ is the force (expressed in newtons) applied at the other end and $x$ is the deformation expressed in meters.

$A$ particle connected to the end of a spring executes $S$.$H$.$M$. with period $T_1$. While the corresponding period for another spring is $T_2$. If the period of oscillation with two springs in series is $T$,then

When a mass $m$ is hung from the lower end of a spring of negligible mass,an extension $x$ is produced in the spring. The time period of oscillation is

Vedclass Test Series

Exam Paper Generator

Online Exam Module