Determine the distance between the foci and the major and minor axes of a pair of rolling ellipses with centers of rotation 8 in. apart. The angular velocity ratio is to vary from 0.4 to 2.5.
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Determine the distance between the foci and the major and minor axes of a pair of rolling ellipses with centers of rotation 8 in. apart. The angular velocity ratio is to vary from 0.4 to 2.5.
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- The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VÀ = 0.84 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel. Answers: Vo = W = 1.91 m i 0.69 m 1.315 1.37705 Ja m/s VA A rad/s51idar Cs going down P 26 m/ls, AB 15 IS' J6 m/s IS 4 B( 1s 10" Find angular velocrty of ABIf the jack OB is increasing its length with rate 38 cm/s. Find the angular velocity of body ABC, when length of the jack is 20 cm. Use absolute method. A 30 Cm 20CM . В 20 Cm 20 Cm
- 16 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the homogeneous wire in the x, y and z axes given correctly?A) (23.57 ; 11.43 ; 17.14)B) (23.57 ; 17.14 ; 11.43)C) (28.29 ; 13.71 ; 20.57)D) (20.61 ; 13.03 ; 9.08)E) (28.29 ; 20.57 ; 13.71)Given the image below, AB and BC are joined by a hinge in b. End A of member ASB is pin supported while end C is constrained to move along horizonal surface. What is the velocity at C if Member AB rotates clockwise at a constate rate of 3rad/s?The rigid body is rotating about the y-axis. In the position shown in Fig. (a), the angular velocity and angular acceleration of the body are as specified in the figure. Determine the velocity and acceleration vectors of point A in this position using(1) vector equations; and (2) scalar equations. Ans:VA= 0.3im/sBA = -0.9k - 0.2i m/s2
- A rotating shaft carries three unbalanced masses of 4 kg, 3 kg, and 2.4 kg at radial distances of 75 mm, 85 mm and 50 mm and at the angular positions of 45°, 135° and 240° respectively. The planes of taken as the reference plane and the various distances are to be considered from this plane. Determine unbalanced masses, as well as planes of the countermasses are shown in the figure. Plane C₁ is to be the amounts and locations of the counterweights at planes C₁ and C₂ required for complete balance. 225- 200 7- C₂ 240° 3 135° 2 45°1 C₁(RP)The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VA = 0.70 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel. 1.72 m A Answers: Vo = W= 0.60 m 1.075 i 1.25 m/s rad/sFind the twist for an ellipse with center at (h,k), semimajor axis a and semiminor axis b, knowing that the semimajor axis is parallel to the y axis. please do it step by step.
- The sphere P travels in a straight line with constant speed v=53 m/s as shown B=22° y radial velocity Oa. -46.2 Ob. -55.44 Oc.-36.96 Od. -64.68 Oe. -18.48 Angular velocity (rad/s) Oa. -6.49 Ob. -4.87 Oc. -4.06 Od. -5.68 Oe. -1.62 rᵒ⁰(m/s²) 5 m 0°° (rad/s²) P B 4 mConsider a wheel with four spokes as shown below. The radius of wheel is r = 0.18 m. The mass of the circumferential part is 0.7 kg, and the mass of each spoke is 0.12 kg. If one of the spokes is removed, calculate the distance (in mm) between the old and new center of mass locations. rA surface is generated by revolving the circular arc of 0.8 m radius and subtended angle of 120 degrees completely about the z-axis.The diameter of the neck is 0.6 m. Determine the outside area A generated.