Please help and please do not redirect me to someone elses problem. Thanks. The

Question

Please help and please do not redirect me to someone elses problem. Thanks.

The rack on the left (Rack A) is moving up at a speed of 20 cm/s. The rack causes the two gears to rotate, which in turn causes the right rack (Rack A) to translate. Assume r1 = 8 cm (larger gear) and r2 = 3cm (smaller gear). Find the angular velocity of right gear (Gear 2). ANS: 6.67 rad/s counter clockwise What is the velocity of rack B? ANS: 20 cm/s up If rack A is accelerating upwards with 2 m/s^2. what is the angular acceleration of gear 2? ANS: 12 rad/s^2 counter clockwise

Explanation / Answer

(A)velocity of rack,Va= 20cm/s

so, Va=W1*R1

so, W1 = 20/8 rad/s

at the junction of gear 1 and 2

W1*R1 = W2*R2

so, W2=20/8*8/3= 6.67 rad/s

(b)velocity of rack b = 6.67*3 = 20 rad/s

(c)if rack a is accelerating upwaeds with 2m/s^2

it will become tangential acceleration for gear 1

tangential accln of gear 1 ,At1 = 2m/s^2

angular accln of gear 1 = 200/8 = 25 rad/s^2

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---