A 4m rod AB slides down the plane with v A = 4 m/s to the left and a A = 5 m/s 2 to the right. Angle θ at this moment is 30 o . Determine the angular velocity and angular acceleration at this instant of time.

Question

A 4m rod AB slides down the plane with v A = 4 m/s to the left and a A = 5 m/s 2 to the right. Angle &theta; at this moment is 30 o . Determine the angular velocity and angular acceleration at this instant of time.

ashish kumar · Answer

Angular velocity of AB =( V A -V B )/L AB = (4 cos60 - 0)/4 = 2/4 = 0.5 Insatantaneous centre of rotation is point B since it has zero velocity. Let the angular acceleration be Therefore a A = (AB) = 5 cos60/4 = 5/8

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A 4m rod AB slides down the plane with v A = 4 m/s to the left and a A = 5 m/s 2 to the right. Angle θ at this moment is 30 o . Determine the angular velocity and angular acceleration at this instant of time.

A 4m rod AB slides down the plane with v_A = 4 m/s to the left and a_A = 5 m/s² to the right. Angle θ at this moment is 30^o. Determine the angular velocity and angular acceleration at this instant of time.

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A 4m rod AB slides down the plane with v A = 4 m/s to the left and a A = 5 m/s 2 to the right. Angle θ at this moment is 30 o . Determine the angular velocity and angular acceleration at this instant of time.

A 4m rod AB slides down the plane with vA = 4 m/s to the left and aA = 5 m/s2 to the right. Angle θ at this moment is 30o. Determine the angular velocity and angular acceleration at this instant of time.

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A 4m rod AB slides down the plane with v_A = 4 m/s to the left and a_A = 5 m/s² to the right. Angle θ at this moment is 30^o. Determine the angular velocity and angular acceleration at this instant of time.