A string of length L consists of two sections The left half has mass per unit length 0 2, while the right has a mass per unit length 3 30 2 Tension in the string is T0 Notice from the data given that this string has the same total mass as a uniform string of length L and mass per unit length 0 (a) Find the speeds v and v1 at which transverse pulses travel in the two sections Express the speeds in terms of T0 and 0, and also as multiples of the speed v0 (T0 0) (b) Find the time interval required for a pulse to travel from one end of the string to the other Give your result as a multiple of t0 L v0

Question: A string of length L consists of two sections. The left half has mass per unit length = 0/2, while the right has a mass

A string of length L consists of two sections. The left half has mass per unit length μ = μ0/2, while the right has a mass per unit length μ = 3μ = 3μ0/2. Tension in the string is T0. Notice from the data given that this string has the same total mass as a uniform string of length L and mass per unit length μ0.
(a) Find the speeds v and v1 at which transverse pulses travel in the two sections. Express the speeds in terms of T0 and μ0, and also as multiples of the speed v0 = (T0/μ0)½
(b) Find the time interval required for a pulse to travel from one end of the string to the other. Give your result as a multiple of Δt0 = L/v0.

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