Tr 33 Problem 2 A Rectangle Is Suspended From Point P Which Is Located X 12 8 Cm From The Top Left Corner Along T 1 (66.83 KiB) Viewed 15 times
Tr 33 Problem 2 A Rectangle Is Suspended From Point P Which Is Located X 12 8 Cm From The Top Left Corner Along T 2 (265.56 KiB) Viewed 15 times
TR (33%) Problem 2: A rectangle is suspended from point P, which is located x = 12.8 cm from the top-left corner along the diagonal) and is free to rotate in a vertical plane about point P. F The mass of the rectangle is 507 g and the length of its diagonal is 39.6 cm. The diagonal forms an angle o = 59° with the short side of the rectangle, which is initially horizontal, as shown in the diagram. P In addition to its weight, the rectangle is also experiencing the 3 forces shown in the diagram: • A horizontal force Fi of magnitude 1.27 N on the top-left corner. • A 0.79 N-force F, directed 24 degrees above the diagonal and applied at the bottom-right corner. • A force Fg of magnitude 0.63 N directed along the dotted line (see diagram) For all calculations, use a 9.81 m/s. Ez
25% Part (a) What is the net torque on the rectangle, calculated relative to point P? (Make sure to use the correct sign convention) 25% Part (b) What is the moment of inertia of the rectangle for rotations about point P? I = kg-m² sin() cos() tan() 7 8 9 HOME cotan() asin() acos() E 4 5 6 atan() acotan() sinh() 1 2 cosh() tanh() cotanh() 0 END - O Degrees NO BACKSPACE DEL CLEAR Submit Hint give up! Hints: Feedback: 25% Part (c) What is the angular acceleration of the rectangle at the instant illustrated in the diagram? (Again, make sure to use the correct sign convention). A 25% Part (d) Assuming the net torque is constant over time and the point at the top left corner has an initial speed of 0.38 cm/s clockwise, what is the angular speed of the rectangle when its diagonal is vertical? Radians + Feedback 3
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