с d A r B 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 -0.21 and you apply a force of 0.6 N at an angle of 35* 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. k Assume the roll can be treated as a cylinder with a mass of 0.28 kg, a width of 11.5 cm, and a radius of 7 cm. Point B is a vertical distance d=14 cm from point A. F rad Hint: Watch your vector direction for a above

The roller is pushed forward with a force of 200 N when the handle is at 45°. The friction coefficients between the roller and the ground are μ = 0.12 and k = 0.1. If the roller has a mass of 80 kg and a moment of inertia of 2.45 kg m² about its center of mass, calculate the magnitude of the angular acceleration of it. Present your answer in rad/sec² using 3 significant figures. MARANANLA G 45° 200 mm A 200 N

Two friction discs A and B will come into contact, without slipping, when the angular velocity of disc A is 320 rpm counterclockwise. Disk A starts from rest at t = 0 and has a constant angular acceleration with magnitude a. Disk B starts from rest at time t = 4 s and has a constant angular acceleration in a clockwise direction, also with a magnitude a. Determine the magnitude of the required angular acceleration a, in rad/ s². B 150 mm 200 mm

The man pushes on the roller with force P through a handle that connects to the central axle of the roller. If the coefficient of static friction between the 43-lb roller and the floor is ls = 0.12, and the force Pis maximum so that the roller is about to slip, determine the angular acceleration of the roller (in rad/s²). Assume the roller to be a uniform cylinder. 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 = 32.2 ft/s2. 1.5 ft 30° Your Answer: Answer

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ATWOOD'S MACHINE Draw a free body diagram of m1 and another free body diagram of m2. Using these diagrams, apply Newton’s second law to each mass. Assume that the tension is the same on each mass and that they have the same acceleration. From these two equations, find an expression for the acceleration of m1 in terms of m1, m2, and g. Compare the expression to your result in Step 5 of Analysis.

3/72 The small object is placed on the inner surface of the conical dish at the radius shown. If the coefficient of static friction between the object and the conical sur- face is 0.30, for what range of angular velocities w about the vertical axis will the block remain on the dish without slipping? Assume that speed changes are made slowly so that any angular acceleration may be neglected. (0 0.2 m m 30° CamScanner Lino izowall

EXERCISE 3.40 Collar C slides relative to the curved rod at a constant speed u. The rotation rate about bearing axis AB is constant at Q. Determine the acceleration of the collar in terms of the angle locating the collar. Also derive expressions for the dynamic forces exerted on the collar by the rod and the tangential force required to hold u constant. Gravity may be assumed to be unimportant. (Hint: attach frame xyz to the curved rod, make the tangent point of AB and circle as its origin. Axis x is horizontal and rightward. y axis is vertical and downward.) 225