The extremities of a 4-ft rod weighing 50lb (1.5528slugs) can move freely and with no friction along two straight tracks. The rod is released with no velocity from the position shown, resulting in the rod to slide down the incline. The angular acceleration of the rod is a = +2.30k rad/s² and the linear acceleration at point A is 12.5674ft/s² to the right. Determine (a) ac, the linear acceleration at point G, and (b) R₁ and RB, the normal reaction forces at point A and B. Include and present the Free Body Diagram and Inertial Response Diagram as part of the solving process.

The 35 lb slender rod AB is 277 in. long and at rest in a horizontal position supported by a spring located at h = 226 in. from the suspension cable at B.  If the cable at B fails, answer the following  1) Part A: Determine the magnitude of the acceleration of end A. 2) Part B: Determine the magnitude of the acceleration of end B. 3) Part C: Determine the angular acceleration of the rod.

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d I à B 8 rad k Ť You were able to obtain a roll of toilet paper during quarantine and put it to good use. If the roll rests against a wall where its coefficient of friction is -0.22 and you apply a force of 0.7 N at an angle of 40* from the vertical. Force F is also tangent to the roll. Determine the angular acceleration of the precious toilet paper. Mark a counterclockwise acceleration as positive and a clockwise acceleration as negative. Hint: Watch your vector direction for a above F Assume the roll can be treated as a cylinder with a mass of 0.21 kg, a width of 11.5 cm, and a radius of 7.5 cm. Point B is a vertical distance d=13 cm from point A. UBC Engineering

ω F A 2 kg ball with radius 9 cm and radius of gyration of 7 cm is moving to the right at 2 m/s while a 5 N force is applied, accelerating its motion. It is currently backspinning (and therefore slipping) at w = 4 rad/s, with μk = 0.3. Find the acceleration of the balls center and also the angular acceleration of the ball at this instant a = m (positive right) $2 rad απ (positive $2 CCW)

A force P of magnitude 5 N is applied to a tape wrapped around the body indicated. The body rests on a frictionless horizontal surface. Assume the mass of the thin hoop to be 2.4 kg. 24 A C Determine the acceleration of Point B. The acceleration of Point B is 2.083 m/s². B P x

The slender bar AB with a mass of 60 kg and a length of 4 m is secured by a cable at C, and pivoted to the back of a truck at A. When the truck starts from rest creating an acceleration of 5 m/sec² on the bar in the direction of the arrow, calculate the magnitude of the tension in the cable. Present your answer in Newtons using 3 significant figures. В. 4 m 60° A -2 m

A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2.   (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)