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Classical Mechanics
1)Modulus of decay of a harmonic oscillator is 200 s. Find the time I which the energy of the oscillator falls to times its original value.
2)In an experiment on forced oscillations, the frequency of sinusoidal driving force is changed while its amplitude is kept constant. It is found that the amplitude of vibrations is 0.01 mm at very low frequency of the driving force and goes upto a maximum of 5 mm at driving frequency 200 s-1. Calculate quality factor and relaxtion time.
2)In an experiment on forced oscillations, the frequency of sinusoidal driving force is changed while its amplitude is kept constant. It is found that the amplitude of vibrations is 0.01 mm at very low frequency of the driving force and goes upto a maximum of 5 mm at driving frequency 200 s-1. Calculate quality factor and relaxtion time.
Classical Mechanics
A cart of mass M is being pulled by a force of magnitude F; the friction between the cart and the ground is negligible. On the flat top of the cart lies a block of wood of mass m; the coefficient of static friction between the cart and the block is u = 0.2. What is the maximal possible value for F before the block starts to slip?
Classical Mechanics
A mass of 80 kg slides down a frictionless inclined plane which is 21 m high and 80 m long. Calculate the work done by gravity as the mass slides from the top to the bottom of the incline
Classical Mechanics
Suppose we are told that the speed, v, of a rotating particle depends on the radius, r,
and the frequency f, in the form v = 2πr
a
/fb
. If this is to be a dimensionally homogeneous
equation, determine the values of a and b.
Classical Mechanics
is work done by a boy who carries a bag of cement from a truck and moves along a level road at uniform speed to a packaging store?
Classical Mechanics
A DVD is rotating with an everincreasing speed. How do the
centripetal acceleration arad and
tangential acceleration atan
compare at points P and Q?
A. P and Q have the same arad
and atan.
B. Q has a greater arad and a
greater atan than P.
C. Q has a smaller arad and a greater atan than P.
D. P and Q have the same arad, but Q has a greater atan than P.
centripetal acceleration arad and
tangential acceleration atan
compare at points P and Q?
A. P and Q have the same arad
and atan.
B. Q has a greater arad and a
greater atan than P.
C. Q has a smaller arad and a greater atan than P.
D. P and Q have the same arad, but Q has a greater atan than P.
Classical Mechanics
Passengers in PIA flight 123 that is flying west at speed of 900km/h observes F-16 flying for 14August parade rehearsal that passes the PIA plane horizontally 60° southwest direction. Peoples in PIA plane feels that F-16 moving away from them at 70° angle. Determine the true velocity of F-16.
Classical Mechanics
A traffic warden starts from rest at Shamsabad Murree Road 3second after when a one wheeler crosses him speeding at a constant rate of 110 fps. The warden accelerates at the rate of 7m/s2 and reaches his speed of 100 km/h which he maintains for 5 seconds when suddenly his bike stops due to uncertain reasons. He then again accelerates with the same rate and reaches to the speed of 150km/h. Determine how long from Shamsabad he will catch the one wheeler.
Classical Mechanics
A driver starts from rest at t=0 and has traveled along a circular track of radius 400m the tangential component of the total force on the vehicle from t=0 to t=30 is given as F(t) = 200-6t. the combined mass of the vehicle and driver is 150kg.
what is the average of the tangential component of the total force from t=0 to t=30s
what is the average of the normal component of the total force from t=0s to t=30s
what is the magnitude of the velocity at t=30s
what is the average of the tangential component of the total force from t=0 to t=30s
what is the average of the normal component of the total force from t=0s to t=30s
what is the magnitude of the velocity at t=30s
Classical Mechanics
A force F=(3 i + 4 J + 5 k) newtons is applied on a 500 g object to move it a displacement D=(5 i+ 4 j + 3k) meters, find the angle between the force F and the displacement d, if the work done by f is 46J?
