An 85.0 kg mountain climber plans to swing down, starting from rest, from a ledge using a light rope 6.50 m long. he swings from an initial angle of θ0=−10∘ with respect to the vertical. in this case, assume that the angle is small enough to approximate the motion as simple harmonic motion. use g=9.8m/s2.
a) solve for the period of the oscillation of the climber.
b) how long will it take the climber to first reach the lowest point in the swing (θ=0∘)?
c) write an equation for the angle of the pendulum with respect to the vertical as a function of time. remember to solve for the phase constant properly.
your answer should be in the form θ(t)=acos(ωt+ϕ) as usual.
d) solve for the angle of the rope at t=1.28s. check that your answer agrees with your answer to part (b).

luster is not a good characteristic to use by itself because luster is the property of minerals that indicates how much the surface of a mineral reflects light. the luster of a mineral is affected by the brilliance of the light used to observe the mineral surface.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

multiple allele inheritance is traits controlled by more than 2 alleles (ex: pigeons having 3 alleles of one gene govern their feather color).

you can cut your hand off if your not