The slider block C is fixed to the disk that has a constant

The slider block C is fixed to the disk that has a constant counterclockwise angular velocity of 5 rad is Suppose that r = 50 mm. a = 180 mm. and b = 40 mm (Figure 1) Determine the angular velocity of the slotted arm AB at the distant shown measured counterclockwise Express your answer using three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise. Determine the angular acceleration of the slotted arm AB at me instant shown measured counterclockwise Express your answer using three significant figures. Enter positive value if the angular acceleration is counterclockwise and negative value if the angular acceleration is clockwise.

Solution

Data given

Angular velocity of AB = 5 rad/sec

Radius (r) of the disc at pivot point = 50mm

Length of the sliding member = a + b = 180 + 40 = 220mm

Linear velocity of disc v = angular velocity * Radius(r)

= 5 * 50

= 250 m/s^2

Linear velocity of disc = linear velocity of link

angular velocity of link AB= linear velocity/radius of link AB

= 250/ 220

= 1.14 Radians/ second

Angular acceleration^2 = angular acceleration at start + 2 *angular velocity x degrees rotated in radians

= 0+ 2*1.14 * (60 * pie/180)

= 2.39

Angular acceleration = square root of 2.39

= 1.55 rad/sec^2