Question

1) The disk rolls without slipping with an angular velocity of o 2 rad's and an angular acceleration of -3 rad/s, Link AB is pin connected to the disk at point A which is on the periphery of the disk. The length of the link is 0.5 m and the radius of the wheel is 0.25 m. Find the velocity of point B when A is 0.25m above the ground. 10 points a) VA-W /o o.25 ,775 Find the acceleration of point B when A is 0.25m above the ground. 10 points b)

Answer 1

Draw the velocity diagram 60° 30° Calculate the angle of link AB with horizontal 0.25 0.5 θ 30° Calculate the velocity at point A (0.25) (2) =0.5 m/s Relative velocity along the link will be zero in this case. Therefore,

V cos 30cos 60° 7, -Vcos 60° cos 30° (0.5) cos 60° cos 30° -0.289 m/s Calculate the tangential acceleration at point A. (0.25)(3) Similarly, relative acceleration along the link will be zero in this case. Therefore, ав cos 30°-a, cos 60° a cos 60° cos 30° ar- (0.75)cos 60° cos 30° 0.433 m/s