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Classical Mechanics
Show that when the intensity of a sound in decibel is triples the sound intensity in watt per metre is also triples. Find this sound level
Classical Mechanics
This block is pushed by a spring attached to the wall, slides across the table, and then falls to the ground. The block has a mass m 1.35 kg. The spring constant is k = 560 N/m, and the spring has been compressed by 0.11 m. The block slides a distance d 0.65 m across the table of height h 0.75 m, find the speed of the block when it lands on the floor
Classical Mechanics
a 300g ball rolls down a hill that is 1.4 m high. At the bottom of the hill, the ball has a speed of 7.6 m/s. Determine the speed of the ball at the top of the hill
Classical Mechanics
A ball is thrown from the top of a tower of height h with a velocity v. the ball strike the ground after time?
Classical Mechanics
A tow truck pulls a car from rest onto a level road. The tow truck exerts a horizontal force of 1500 N on the car. The frictional force on the car is 810 N. Calculate the work done by each of the following forces on the car as the car moves forward 12 m:
(a) the force of the tow truck on the car
(b) the force of friction
(a) the force of the tow truck on the car
(b) the force of friction
Classical Mechanics
A particle of mass 3 units moves in xy plane under influence of a force field having potential V equal to 12x(3y-4x).The particle starts at time t=0 from rest and the point with position vector 10i-10j.
1.set up differential equations and conditions describing the motion
2.solve the equations in (1)
3.find the position at any time
4.Find the velocity at any time
1.set up differential equations and conditions describing the motion
2.solve the equations in (1)
3.find the position at any time
4.Find the velocity at any time
Classical Mechanics
A factory siren has a frequency of 990 Hz.
Calculate the frequency heard by a person
sitting in a car moving at 72 kmh-1 (i) away
from the siren and (ii) towards the siren.
Take the speed of sound in air as 330 ms-1.
Calculate the frequency heard by a person
sitting in a car moving at 72 kmh-1 (i) away
from the siren and (ii) towards the siren.
Take the speed of sound in air as 330 ms-1.
Classical Mechanics
Write down the equation of motion of a
damped oscillator and explain the
significance of each term in the equation.
Write the conditions for heavy, critical and
weak damping.
damped oscillator and explain the
significance of each term in the equation.
Write the conditions for heavy, critical and
weak damping.
Classical Mechanics
The equations of motion of two coupled
spring-mass systems (of equal masses)
executing longitudinal oscillations are
(d²x1/dt²)+w0²x1–Wa²(x2 — x1 )= 0
and
(d²x/dt²)+w0²x2–ws²(x2–x1)=0
where w0 = √k'/m and ws= √k/m
are the natural frequency and coupling frequency of the oscillators.
Decouple these equations and obtain
expressions for normal mode frequencies.
spring-mass systems (of equal masses)
executing longitudinal oscillations are
(d²x1/dt²)+w0²x1–Wa²(x2 — x1 )= 0
and
(d²x/dt²)+w0²x2–ws²(x2–x1)=0
where w0 = √k'/m and ws= √k/m
are the natural frequency and coupling frequency of the oscillators.
Decouple these equations and obtain
expressions for normal mode frequencies.
Classical Mechanics
A spring-mass system with m = 0.01 kg,
spring constant k = 36 Nm-1 and damping
constant y = 0.5 kg s-1 is subject to a
harmonic driving force. Calculate its
natural frequency and the resonance
frequency. How do they compare ? Discuss
the physical significance of your
result.
spring constant k = 36 Nm-1 and damping
constant y = 0.5 kg s-1 is subject to a
harmonic driving force. Calculate its
natural frequency and the resonance
frequency. How do they compare ? Discuss
the physical significance of your
result.
