The tension in the cable is equal to 323.5 N.
<h3>What is the tension in the cable?</h3>
The tension, T in the cable is determined by taking moments about the pivot marked X.
The angles of the boom and the cable with the horizontal are first calculated.
Angle of the boom with horizontal, θ = tan⁻¹(5/10) = 26.56°
The angle of cable with horizontal, B = tan⁻¹(4/10) = 21.80
Taking moments about the pivot:
175.5 * cos 26.56 + 94.7 * cos 26.56 * 0.5 = T (sin(26.56 + 21.80) * 1
Tension = 241.68/0.747
Tension = 323.5 N
In conclusion, the tension in the cable helps to suspend the crate.
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Answer:
A. The period of an oscillation does not depend upon amplitude.
Explanation:
The period of a spring-mass system is:
T = 1/f = 2π√(m/k)
where f is the frequency, m is the mass, and k is the spring constant.
The answer isn't B. There are no frictionless systems in the real world.
The answer isn't C or D. As shown, the frequency is a function of both the mass and the spring constant.
The answer isn't E. Turning motion into heat is not an advantage for a clock.
The correct answer is A. The period of the system does not depend on the amplitude.
In freely falling body, there is no force acting on it other than the force of gravity (g).
To work out kinetic energy, we use the following formula: KE = 0.5 x mv^2. So, 0.5 x 4 x 16^2 = 512 J
Mechanical advantage is a measure of the force amplification
achieved by using a tool, mechanical device or machine system. Ideally,
the device preserves the input power and simply trades off forces
against movement to obtain a desired amplification in the output force.
The model for this is the <span>law of the lever.</span> Machine components designed to manage forces and movement in this way are called mechanisms.
An ideal mechanism transmits power without adding to or subtracting
from it. This means the ideal mechanism does not include a power source,
and is frictionless and constructed from rigid bodies that do not
deflect or wear. The performance of a real system relative to this ideal
is expressed in terms of efficiency factors that take into account
friction, deformation and wear.
