On average, a human heart is found to beat 75 times in a minute. Its frequency and period respectively are:
1. 2.25 Hz and 0.8 sec
2. 1.35 Hz and 0.9 sec
3. 1.25 Hz and 0.8 sec
4. 1.25 kHz and 0.8 sec
(a) | \(\sin\omega t+ \cos\omega t\) |
(b) | \(\sin\omega t+ \cos2\omega t+ \sin4\omega t\) |
Given the following simple harmonic motion.
(A) \(\sin\omega t - \cos\omega t\)
(B) \(\sin^{2}\omega t\)
The time period motions respectively are:
1. \(\dfrac{2 \pi}{\omega} \text{ and } \dfrac{\pi}{\omega}\)
2. \(\dfrac{2 \pi}{\omega} \text{ and }\dfrac{\pi}{2 \omega}\)
3. \(\dfrac{2 \pi}{\omega} \text{ and }\dfrac{4 \pi}{\omega}\)
4. \(\dfrac{\pi}{\omega} \text{ and } \dfrac{3 \pi}{\omega}\)
A body oscillates with SHM according to the equation (in SI units) \(x = 5\cos\left[2\pi t +\frac{\pi}{4}\right]\). At \(t = 1.5\) s, the displacement and speed of the body respectively are:
1. \(3.535~\text{m}~\text{and}~24~\text{m/s}\)
2. \(-3.535~\text{m}~\text{and}~24~\text{m/s}\)
3. \(-3.535~\text{m}~\text{and}~22~\text{m/s}\)
4. \(3.535~\text{m}~\text{and}~22~\text{m/s}\)
What is the length of a simple pendulum, which ticks seconds?
1. \(0.5~\text{m}\)
2. \(1~\text{m}\)
3. \(5~\text{m}\)
4. \(2~\text{m}\)
A 5 kg collar is attached to a spring of spring constant 500 N/m. It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10.0 cm and released. The period of oscillation of the collar is:
1.
2.
3.
4.