A pendulum consists of a bob of mass m=0.233 kgm=0.233 kgand a massless inextensible string of length L=1.20 mL=1.20 m. It is suspended from a fixed point at height H=0.623 mH=0.623 mabove a horizontal floor with a coefficient of friction u=0.175µ=0.175. Initially, the bob of the pendulum is lying on the floor at rest vertically below the point of suspension. A horizontal impulse P=2.02 kg.ms-1P=2.02 kg.ms-lis imparted to the bob at some instant, such that it acquires a velocity v=Pmv=mP. After the bob slides for some distance, the string becomes taut and the bob lifts off the floor. Calculate the angle at which the string becomes taut. At what time does the bob leave the surface; i.e., the string become taut? What is the kinetic energy of the bob just after the lift-off?
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.
hi please solve this question , make sure its correct
Step by step
Solved in 2 steps with 2 images
