Close Examl AEM 264 Dynamics Spring 2016(1) Block A has a velocity of 12 ft/s to

Question

Close Examl AEM 264 Dynamics Spring 2016(1) Block A has a velocity of 12 ft/s to the right. What is the velocity of block B at this instant? (a) 6 ft/s right (b) 9 ft/s right (c) 12 ft/s right (d) 16 ft/s right (e) none of these The axis xy is attached to the rotating disk. The pin travels with respect to The disk at a constant 2.5 in/s in the diiecliou shown. If the disk rotates with a constant angular velocity of 2 rad/s in a ccw direction, determine the speed of the pin in the position shown. (a) 4.7 in/s (b) 3 in/s (c) 6.5 in/s (d) 4 in/s (e) 2.5 in/s An object is found to have an angular acceleration, alpha = -4 omega^2. What is an equation for the angular velocity as a function of time assuming that at t=0 it has an angular velocity of omega_0? Note: not all the algebra has been done to simplify the equations and solve for omega. omega -omega_o = -4/3omega^3t b) omega - omega_0 = -4omega^2t c) 1/omega -1/omega_0 = -4t d) 1/omega -1/omega_0 = 4t e) none of these

Explanation / Answer

1.

A is attached with 3 strings and B is attached with 4 strings,

Let 'C' be the centre point where string is tied or fixed.

==> 4*(velocity of B) = 3 *(velocity of A)

==> 3VA= 4VB

===>VB= (3/4)*VA

===> VB= (3/4)*12 = 9 ft/sec

Note: Please post other questions separtely, i can gladly answer them.. thanks:)

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