Question
The angular amplitude of a simple pendulum is $\theta_0$. The maximum tension in its string will be
✓
Answer
(d)
Maximum tension in the string is
$T_{\max }=m g+\frac{m v^2}{l}$
$=m g+\frac{2 m g l}{l}\left(1-\cos \theta_0\right)$
$=m g+2 m g\left(1-1+\frac{\theta_0^2}{2}\right) \text { (since } \theta_0 \text { is small) }$
$=m g\left(1+\theta_0^2\right)$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A convex lens produces a real image m times the size of the object. What will be the distance of the object from the lens
What vector must be added to the two vectors $\hat i - 2\hat j + 2\hat k$ and $2\hat i + \hat j - \hat k,$ so that the resultant may be a unit vector along $X-$axis
→A body executes simple harmonic motion. The potential energy $(P.E.)$, the kinetic energy $(K.E.)$ and total energy $(T.E.)$ are measured as a function of displacement $x$. Which of the following statements is true
→Determine the charge on the capacitor in the following circuit ................ $\mu C$
→Which of the following has lowest freezing point ?
At a given instant, $A$ is moving with velocity of $5\,m / s$ upwards. What is velocity of $B$ at the time
→Two blocks $A(5kg)$ and $B(2kg)$ attached to the ends of a spring constant $1120N/m$ are placed on a smooth horizontal plane with the spring undeformed. Simultaneously velocities of $3m/s$ and $10m/s$ along the line of the spring in the same direction are imparted to $A$ and $B$ then
→In photoelectric effect, the electrons are ejected from metals if the incident light has a certain minimum
The work done per unit volume to stretch the length of area of cross-section $2 \,mm ^2$ by $2 \%$ will be ....... $MJ / m ^3$ $\left[Y=8 \times 10^{10} \,N / m ^2\right]$
→In a npn transistor $10^{10}$ electrons enter the emitter in $10^{-6}\; s $. 4% of the electrons are lost in the base. The current transfer ratio will be
→