PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The robot arm is elevating and extending simultaneously. At a given instant, θ = 25°, θ˙ = 24 deg/s = constant, l = 0.53 m, l˙ = 0.21 m/s, and l¨ = -0.08 m/s2. Compute the magnitudes of the velocity v and acceleration a of the gripped part P. In addition, express v and a in terms of the unit vectors i and j.
Alonso is showing off his driving skill by
maintaining his speed at 108 km/h for the
whole journey from A to B. The bend AB
is assumed to be at a constant radius of
30 m about point O. The car is observed
by camera from point D. Determine r, 0,
i and ê observed from D when the car
passes point C. 0 = 60° and a = 30°.
r= 30 m ,
If the rod AB rotates counterclockwise with angular velocity, ω AB =8rad / s Calculate the velocities of the blocks C and D at the moment shown in the figure below.
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- DYNAMICS OF RIGID BODIES! The ball at A is kicked with a speed of 25.38 m/s at an angle Θ = 30 degrees . Determine the position of point B where it strikes the ground. Assume the ground has the shape of a parabola as shown.arrow_forward4. The man pulls on the rope at a constant rate of o.5 m/s. Determine the angular velocity and angular acceleration of beam AB when e = 60°. The beam rotates about A. Neglect the thickness of the beam and the size of the pulley. 6m 6 marrow_forwardAt the instant shown, link CD rotates with an angular velocity of W = 7.5 rad/s. If it is subjected to a couple moment M = 300 N·m, determine the magnitude of the angular acceleration (rad/s²) of link CD. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to O.) Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s². 0.1 m 0.4 m 0.4 m G Your Answer: Answer B 0.6 m ω A M Carrow_forward
- At the instant shown, link CD rotates with an angular velocity of W = 7.5 rad/s. If it is subjected to a couple moment M = 560 N-m, determine the magnitude of the angular acceleration (rad/s2) of link CD. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to 0.) Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s2. 0.1 m 0.6 m В A 0.4 m G 0.4 m C M Your Answer: Answer 3arrow_forwardAt the instant the boomerang is shown, it has an angular velocity of w=4 rad/s, and its center of mass G has a velocity of VG= 6 in/s. Determine the magnitude of the velocity of point B at that instant.arrow_forwardSmall objects are released from rest at A and slide down the smooth circular surface of radius R to a conveyor B. Determine the expression for the normal contact force N between the guide and each object in terms of θ and specify the correct angular velocity w (or called θ') of the conveyor pulley of radius r to prevent any sliding on the belt as the objects transfer to the conveyor.arrow_forward
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