Question

A particle of mass m subject to the following force function given by : F = F? + sin ct where F? and c are positive constants , and the particle is at rest at x=0 and t=0 ; a) Find the impulse of the force on the particle through the time from t?=0 to t?=t . b) Find the velocity and the position as functions of time t.

          A particle of mass m subject to the following force function given by :
F = F? + sin ct
where F? and c are positive constants , and the particle is at rest at x=0 and t=0 ;
a) Find the impulse of the force on the particle through the time from t?=0 to t?=t .
b) Find the velocity and the position as functions of time t.

A particle of mass m subject to the following force function given by :
F = F? + sin ct
where F? and c are positive constants , and the particle is at rest at x=0 and t=0 ;
a) Find the impulse of the force on the particle through the time from t?=0 to t?=t .
b) Find the velocity and the position as functions of time t.

Added by Arthur M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhu Ramji

10/10/2022

Step 1

Step 1: Impulse calculation** Given: Impulse = $\int_{0}^{t} (F_{0} + \sin(ct)) dt$ Impulse = $F_{0}t - \frac{1}{c}(\cos(ct) - \cos(0))$ Impulse = $F_{0}t - \frac{1}{c}(1 - \cos(ct))$ ** Show more…

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A particle of mass m is subject to the following force function given by F = Fo + sin(ct), where Fo and c are positive constants. The particle is at rest at x = 0 and t = 0. a) Find the impulse of the force on the particle from t1 = 0 to t2 = t. b) Find the velocity and position as functions of time t.