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Physics
the pulley to which the 5 cm radius is stuck is located on a horizontal axis.A cord of negligible mass is wrapped around the pulley, on the free end of which a load of 0.4 kg is hung.After being released the load decreased uniformly accelerated making 1.8 m for 3 s.Determine the moment of inertia of the roller
Physics
Find the magnitude and direction of (a) the resultant (b) the equilibrium of two forces, 10N acting in the direction N30east and 15 N acting in the easterly direction, if both forces act at a point
Physics
A 5.0 kg object oscillates on a spring with a spring constant of 180 N/m. The damping constant is 0.20 kg/s. The system is driven by a sinusoidal force of maximum value 50 N and an angular frequency of 20 rad/s.
i) Determine the amplitude and phase lag of the oscillations.
ii) If the driving frequency is varied, at what frequency will resonance occur?
iii) Determine the maximum amplitude the system could possibly have.
i) Determine the amplitude and phase lag of the oscillations.
ii) If the driving frequency is varied, at what frequency will resonance occur?
iii) Determine the maximum amplitude the system could possibly have.
Physics
A mass m is subject to a resistive force –bv and a driving force given by F=F_0 cos〖〖(ω〗_d t)〗. No restoring forces act on this system.
Develop the differential equation of motion.
By assuming a steady-state solution of the form x(t)=A cos〖(ω_s t-δ)〗 and using the complex exponential method, determine the amplitude A and phase lag δ for this system.
Develop the differential equation of motion.
By assuming a steady-state solution of the form x(t)=A cos〖(ω_s t-δ)〗 and using the complex exponential method, determine the amplitude A and phase lag δ for this system.
Physics
The time constant is defined as the time for the energy of the system to lose 63% of its initial energy. Determine the time constant for the system.
Express the following amplitude ratios in terms of period T:
ln(A_0/A_1 ),1/2 ln(A_0/A_2 ),〖1/3 ln〗(A_0/A_3 ),〖 1/n ln〗(A_0/A_n )
where A_n is the amplitude after n cycles.
Determine values for the damping coefficient and damping constant that will rapidly reduce the oscillations of this system.
How much does the damping change the angular frequency? You may wish to use the following: √(1+y)=1+1/2 y-1/8 y^2+1/16 y^3-..
Express the following amplitude ratios in terms of period T:
ln(A_0/A_1 ),1/2 ln(A_0/A_2 ),〖1/3 ln〗(A_0/A_3 ),〖 1/n ln〗(A_0/A_n )
where A_n is the amplitude after n cycles.
Determine values for the damping coefficient and damping constant that will rapidly reduce the oscillations of this system.
How much does the damping change the angular frequency? You may wish to use the following: √(1+y)=1+1/2 y-1/8 y^2+1/16 y^3-..
Physics
in the javelin throw, hammer throw or discus the goal is maximum distance ignoring air resistence and the athlete's biomechanics at whatangle should the athlete throw these objects to maximize the distance they travel before hitting the ground
Physics
A 200 g undamped oscillator placed in a vacuum is observed to have a frequency of 2 Hz. This is the same system as in Question 1 with the same initial conditions. Air is admitted to this system and the oscillation decreases to 60% of its initial amplitude in 50 s.
For this system, determine the:
Damping coefficient γ.
Angular frequency.
Quality factor and the type of damped system.
Period.
Displacement equation x(t) in the form x(t)=A cos〖(ωt+ϕ)〗.
Displacement at t=50 s.
Velocity at t=50 s.
Acceleration at t=50 s.
Potential energy at t=50 s.
Kinetic energy at t=50 s.
Restoring force at t=50 s.
Resistive force at t=50 s.
For this system, determine the:
Damping coefficient γ.
Angular frequency.
Quality factor and the type of damped system.
Period.
Displacement equation x(t) in the form x(t)=A cos〖(ωt+ϕ)〗.
Displacement at t=50 s.
Velocity at t=50 s.
Acceleration at t=50 s.
Potential energy at t=50 s.
Kinetic energy at t=50 s.
Restoring force at t=50 s.
Resistive force at t=50 s.
Physics
A simple pendulum consists of a small ball of mass m=0.2kg swinging on a string of length 7m. The pendulum is
released from the horizontal position, as shown in Figure 1. A short time later, the pendulum reaches the bottom of its
swing and encounters a nail sticking out of the page a distance 6m below the pivot point, and the pendulum begins to
wrap around the nail. How fast is the ball moving when it is at the top of its first rotation around the nail?
released from the horizontal position, as shown in Figure 1. A short time later, the pendulum reaches the bottom of its
swing and encounters a nail sticking out of the page a distance 6m below the pivot point, and the pendulum begins to
wrap around the nail. How fast is the ball moving when it is at the top of its first rotation around the nail?
Lens Equation
Solve the following problems.
1.An object 8 cm tall is placed 30 cm from a converging lens. A real image is
formed 15 cm from the lens. (5 pts.)
a. What is the focal length of the lens?
b. What is the size of the image?
c. Describe the image using the ray diagram.
2.A diverging lens has a focal length of 2.5 cm. If it is placed 4 cm from an object, at
what distance from the lens will the image be located? Describe the image. (3pts.)
the visible light of wavelength 350 NM to 800 NM is incident normally on a thin film with refractive index 4 it is observed that three wavelength 720 NM, 480 NM and 360 NM are compulsory missing from reflected spectra find the minimum thickness of a film.
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#339914 on Dec 2023
#339914 on Dec 2023