A hemisphere of weight W and radius r is released from rest in the position shown. Determine (a) the minimum value of μs for which the hemisphere starts to roll without sliding, (b) the corresponding acceleration of point B. (Hint: Note that
Fig. P16.111
16.112 Solve Prob. 16.111, considering a half cylinder instead of a hemisphere. (Hint: Note that OG = 4r/3π and that, by the parallel-axis theorem,
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Vector Mechanics for Engineers: Statics and Dynamics
- Can you explain the radius of gyration ? why is it 480mm for the rod & 120mm for the disk. How do we figure this out ? thank youarrow_forwardPlease display all workarrow_forwardThe rotor of an electric motor has an angular velocity of 3600 rpm when the load and power are cut off. The 120-lb rotor, which has a centroidal radius of gyration of 9 in., then coasts to rest. Knowing that kinetic friction results in a couple of magnitude 2.5 lb·ft exerted on the rotor, determine the number of revolutions that the rotor executes before coming to rest.arrow_forward
- Can you please help with the attached problem?arrow_forwardPlease show all steps.arrow_forwardProblem 17.76 The 19.2-kg roll of paper has a radius of gyration k = 120 mm about an axis passing through point A. It is pin supported at both ends by two brackets AB as shown in (Eigure 1) The roll rests on the floor, for which the coefficient of kinetic friction is 0.2. A horizontal force F-60 N is applied to the end of the paper. Figure 400 mm 300 mm/ C <1 of 1 Part A Determine the initial angular acceleration of the roll as the paper unrolls Express your answer in radians per second squared to three significant figures. Enter positive value if the angular acceleration is clockwise and negative value if the angular acceleration is counterclockwise. VAE Ivec 3 a= 7.54 a Previous Answers Request Answer C QMNC ? Submit J * Incorrect; Try Again; 3 attempts remaining rad/s²arrow_forward
- Problem #5) A pulley having a moment of inertia of 0.191b-ft-s² is connected to two masses as shown. The masses A and B have linear acceleration of 1.85ft/s² upward and 1.11 ft/s² downward, respectively. Assuming no axle friction, determine (a) the tension forces TA and TB in the cables connecting the masses, and (b) the angular acceleration a of the pulley. 6 in. Include and present the Free Body Diagram and Inertial Response Diagram as part of the solving process. Hint #1: Hint #2: use mA = 0.1553slugs, and mB = 0.3106slugs treat each body separately B 10 lb 10 in. A 5 lbarrow_forwardThe rotor of an electric motor has an angular velocity of 3600 rpm when the load and power are cut off. The 110-lb rotor, which has a centroidal radius of gyration of 9 in., then coasts to rest. Knowing that the kinetic friction of the rotor produces a couple with a magnitude of 2.5 1b.ft determine the number of revolutions that the rotor executes before coming to rest.arrow_forwardThe mechanism shown is one of two identical mechanisms attached to the two sides of a 180-lb uniform rectangular door. Edge ABC of the door is guided by wheels of negligible mass that roll in horizontal and vertical tracks. A spring of constant k is attached to wheel Bin such a way that its tension is zero when 0 = 30°. Knowing that the door is released from rest in the position 0 = 45° and reaches the vertical position with an angular velocity of 0.6 rad/s, determine the spring constant k. 5 ft 5 ft The spring constant is Ib/ft.arrow_forward
- The mechanism shown is one of two identical mechanisms attached to the two sides of a 185-lb uniform rectangular door. Edge ABC of the door is guided by wheels of negligible mass that roll in horizontal and vertical tracks. A spring of constant k is attached to wheel B in such a way that its tension is zero when e = 30°. Knowing that the door is released from rest in the position e = 45° and reaches the vertical position with an angular velocity of 0.6 rad/s, determine the spring constant k. 5 ft C 5 ft The spring constant is 58.72 Ib/ft.arrow_forwardGear A weighs 1 lb and has a radius of gyration of 1.3 in.; gear B weighs 6 lb and has a radius of gyration of 3 in.; gear C weighs 9 lb and has a radius of gyration of 4.3 in. Knowing a couple M of constant magnitude of 40 lb-in. is applied to gear A, determine (a) the angular acceleration of gear C, (b) the tangential force that gear B exerts on gear C. M A 2 in. 2 in. borg J 4 in. B 6 in. с w ណarrow_forwardRequired information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A 4-kg slender rod is welded to the edge of a 3-kg uniform disk as shown. The assembly rotates about A in a vertical plane under the combined effect of gravity and of the vertical force P. Know that at the instant shown, the assembly has an angular velocity of 12 rad/s and an angular acceleration of 36.5 rad/s2, both counterclockwise. 120 mm Determine the force P. B The force P is D 240 mm с 240 mm (You must provide an answer before moving on to the next part.) |N.↓arrow_forward
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