HW6soln

# HW6soln - [TE" Table—Group 13.141 The polar...

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Unformatted text preview: [TE " ' ' Table—Group 13.141] The polar coordinates uf‘poim A of the cram: an: given as functions of Iimn: in seconds by r 3 + 0.2:: m and f3 = ELDER rad. Dctcn‘ninu thi: acceleration onoint A in terms ﬂl'polar coordinates at I = 3 s. A 1. 3R2“; -réyar +(ré +2 m) 619 16.4 ~ (3+. zfﬂﬁéﬁ)? 3 r {(3. +, artﬂpsa‘) +zﬂhj®4 13.153 The hydraulic actuator moves. the pin P 11]]‘ITI'E1Ttl with velocity v = .j tints}. Determine the velocity of the pin in terms ot'nolar coordinates and the angular velocity of” the slotth bar when H - 35°. 13. [54 The hydraulic actuator moves the pin P upward with constanl velocity v - it] {nits}. Determine the acceleration of the pin i on IS orpolar coordinates and the angular acceleration ol'the slotted bar when H - P1235 Leon-9:?— 13.15? In the cam-follower mechanism. the slotted bar rotates with constant angular velocity m til rad-"s and the radial position o l' the follower A is determined by the pro file oflhe stationary com. The path of the l'ollott’er is described by the polar equation 1‘ = I 1 [15 cos 2 0 fl. Dctennine the velocity of the cam follotmer when it — 3D“ {:1} in terms of polar coordinates and [h] in terms ofeattesian coordinates. l3.l53* In Problem 13.151 determine the acceleration oi'the cam follower when Fi' = 3ft“ {a} in terms of‘ polar coordinates and {h} in terms ot'eartesian coordinates. to} in the position yoajnst examined, the spring is putting a 2D ll} compressive force on the pin at the center orthe cam Follower [i.e. the center oFtlIe sntall roller]. Let the cant follower have a weight oil to and assume the motion is in a 1vertical plane. Neglecting all friction. draw the FED and KD For the earn follower. Using the results ol‘ta). ﬁnd the reaction forces from the cam on the roller, from the slotted arm on the pin at the center of‘lhe roller. ...
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• Fall '08
• Biggers
• Statics, Angular velocity, Coordinate system, Spherical coordinate system, Polar coordinate system, Cylindrical coordinate system, terms ﬂl'polar coordinates

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HW6soln - [TE" Table—Group 13.141 The polar...

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