Consider the connecting rod BC in a slidercrank linkage Dete

Consider the connecting rod BC in a slider-crank linkage. Determine the magnitude of the relative acceleration of point C with respect to point B, a_CB, if the triangle and normal components of this acceleration are a^t_CB = 300mm/s^2 and Circle the correct answer a_CB = 700mm/s^2 a_CB = 550 mm/s^2 a_CB = mm/s^2

Solution

Realative Accelaration at point C with respect to point B is A_cb.

So, Here we have given that Tangential A^t_cb    and Normal Aⁿ_cb Component of Accelarations with respect to CB.

Solution: Realative Component of Accelaration A_cb=(A^t_cb^2+Aⁿ_cb^2)^0.5

                                                                    A_cb=(300² + 400²)^0.5

                                                                                            A_cb=(900 + 1600 )^0.5

                                                                   A_cb= (2500)^0.5

                                                                                            A_cb= 500

So, Realative Accelaration at Point A_cb=500.

So option C is the correct answer.