A 280 g mass vibrates according to the equation x = 0.45sin(6.5t), where x is in meters and t is in seconds. [Recommended time : 4-5 minutes] (a) the amplitude (m) Oa. 0.225 Ob. 0.45 Oc. -0.45 Od. 6.5 Oe. -6.5
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
![A 280 g mass vibrates according to the equation
Time left 1:59:14
x = 0.45sin(6.5t), where x is in meters and t is in seconds.
[Recommended time : 4-5 minutes]
(a) the amplitude (m)
Oa. 0.225
Ob. 0.45
Oc. -0.45
Od. 6.5
Oe. -6.5
(b) the frequency (/s)
Oa. 1.03
Ob. 0.967
Oc. 40.8
Od. 6.5
(c) the period (s)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbab56411-18f5-407b-a1d6-c1d1ccfc0ba7%2Fe5f7634e-0095-416e-a6a7-14f3f1d0b45a%2Fetr7uxi_processed.jpeg&w=3840&q=75)
![Time left 1:59:30
Quiz navigation
You are driving a car at 140 km/h, and suddenly you see a motorbike at 530 m
ahead. The bike is moving away at a constant speed of 45 km/h. You push on the
breaks as hard as you can! [Recommended time : 10-12 minutes]
(a) What shuold be the final velocity of your car to just avoid collission at the last
moment? (km/h)
Qusai Al Adawi
Oa. 0
126979
Ob. 45
3
4.
Oc. 95
10 11
12
Od. 50
Finish attempt.
(b) What must be the deceleration of your car to avoid hitting the bike? (km h-2)
Oa. -18490.6
Ob. -1910.4
Oc. -8514.2
Od. -7641.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbab56411-18f5-407b-a1d6-c1d1ccfc0ba7%2Fe5f7634e-0095-416e-a6a7-14f3f1d0b45a%2F4n9luff_processed.jpeg&w=3840&q=75)
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