The robot moves the particle A (mass M) in the vertical plane using polar coordinate formulas   r (t) = 1.2-0.6sin (2πt) [m]   θ (t) = 0.5-1.5cos (2πt) [rad]

10. Ā = -2â + -3ŷ and B = -4â + -4ŷ. Calculate R = Ã+B. Calculate 0, the direction of R. Recall that 0 is defined as the angle with respect to the +x-axis. A. 49.4° B. 130.6° C. 229.4° D. 310.6°

Hello, can you also please include the formula that you used to solve this problem? Thank you!

Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has angular velocity wo = 0.29 rad/s at t = 0 and subsequently experiences an angular acceleration a = 1.8t where t is in seconds, and a is in radians per second squared. Determine the velocity and acceleration of point A in terms of fixed i and j unit vectors at time t = 2.7 s. Assumer = 145 mm. α Answers: VA = aд = 90 (i ( i 0 6.806 i + i + i i 1 0.705 j) m/s j) m/s²

An object moves uniformly around a circular path of radius 22.0 cm, making one complete revolution every 2.20 s. ONLY ANSWER C PLEASE, I HAVE A & B (a) What is the translational speed of the object?0.628m/s(b) What is the frequency of motion in hertz?0.454Hz(c) What is the angular speed of the object?rad/s

Deduce an expression for a rotation operation along z-axis R₂(a)= exp. La ħ

A yoyo of radius R and mass M is released from rest with the string vertical and its top end fixed up a support as shown below. How fast is the center of mass of the yoyo moving when it has fallen a distance of 47 cm. Ignore the mass of the string and express your answer if m/s

please do part c

At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 5.82 m above the water. One diver runs off the edge of he cliff, tucks into a "ball," and rotates on the way down with an average angular speed of 1.83 rev/s. Ignore air resistance and etermine the number of revolutions she makes while on the way down. Number 1.99 Units rev

An astronaut is being tested in a centrifuge. The centrifuge has a radius of 9.10 m and, in starting, rotates according to θ = 0.390t2, where t is in seconds and θ is in radians. When t = 2.60 s, what are the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration? (a) Number Enter your answer for part (a) in accordance to the question statement Units Choose the answer for part (a) from the menu in accordance to the question statement                                                           radrad/srad/s^2kg·m^2N·mkg·m^2/srad^2/s^2 (b) Number Enter your answer for part (b) in accordance to the question statement Units Choose the answer for part (b) from the menu in accordance to the question statement                                                           This answer has no units° (degrees)mkgsm/sm/s^2NJWN/mkg·m/s or N·sN/m^2 or Pakg/m^3gm/s^3times (c) Number Enter your answer for part (c)…