Part B dy Since y(t) can be expressed as a product of two functions, y(t) = f(t) · g(t) where f(t) = you at and g(t) = cos(wt), we can use the product rule of differentiation to evaluate find the derivative with respect to t of f(t) = you¯at. However, to do this we need to find the derivatives of f(t) and g(t). Use the chain rule of differentiation to dt ▸ View Available Hint(s) Уо α -at df dt 0 (since yo is a constant) -ayoe Yoe-at -at -atyoe-at

Part B dy Since y(t) can be expressed as a product of two functions, y(t) = f(t) · g(t) where f(t) = you at and g(t) = cos(wt), we can use the product rule of differentiation to evaluate find the derivative with respect to t of f(t) = you¯at. However, to do this we need to find the derivatives of f(t) and g(t). Use the chain rule of differentiation to dt ▸ View Available Hint(s) Уо α -at df dt 0 (since yo is a constant) -ayoe Yoe-at -at -atyoe-at

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter1: Matrices, Vectors, And Vector Calculus

Section: Chapter Questions

Problem 1.24P

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