Question 7 [3/155]: The collar of mass m slides on the rough horizontal shaft under the action of the force F of constant magnitude F
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![Question 7 [3/155]: The collar of mass m slides on the rough horizontal shaft under the action of the force
F of constant magnitude F <mg but variable direction. If 0 = kt where k is a constant, and if the collar has
a speed v₁ to the right when 0 = 0, determine the velocity v2 of the collar when
reaches 90°. Also
determine the value of F which renders v₂ = v₁.
Н
m
F](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ad53208-0c62-41ff-97d8-f67986d9dba5%2F9a9bc61d-7d8c-4316-9205-edc061ba12ce%2F6lb4k5_processed.jpeg&w=3840&q=75)
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- The frame is made from uniform rod which has a mass p per unit length. A smooth recessed slot constrains the small rollers at A and B to travel horizontally. Force P is applied to the frame through a cable attached to an adjustable collar C. Determine the magnitudes and directions of the normal forces which act on the rollers if (a) h = 0.25L, (b) h = 0.50L, and (c) h = 0.81L. The forces will be positive if up, negative if down. Evaluate your results for p = 2.5 kg/m, L = 510 mm, and P = 43 N. What is the acceleration of the frame in each case? Answers: (a) (b) L (c) h= 0.25L: h = 0.50L: h = 0.81L: L A A A = B i i i h P N. N. N₁ B i i i N. N. N. i i i m/s m/s m/sQ4. As shown in the image below, a force of P= 310 N is applied to the 64-kg cart. The dimensions are a = 0.29 m, b = 0.21 m, and c = 0.28 m, and the angle 0 = 26. The mass center of the cart is at point G. Assume the wheels are weightless and free to roll (therefore, friction can be ignored). Take g = 9.81 m/s?. (1) Determine the total normal force at the wheels at A. A FBD and kinetic diagram must be included on your notes. Your answer must include 1 place after the decimal point, and the proper SI unit. P 0.4 m C В 0.08 mQ. The upper and lower arms of Porter governor are 0.25 m each and are pivoted 30 mm from the axis of rotation. The radius of rotation Is 130 mm. The mass of the ball and sleeve are 3 kg and 38 kg respectively. Find the effort and power of the governor.
- 4. Draw the FBD and derive the EOM of the pulley system below with respect to x using Newton's laws. Mass m slides on a rough surface with friction force f. There is no displacement in the spring initially. -Pulley. moment of inertia J,The mechanism shown consists of a crank (bar AB), a connecting rod (bar BC) and the piston C that slides on the smooth surface (without friction). The combustion of gasoline produces a force P on the piston and this is kept in equilibrium with the moment M applied in A. The length of the crank is 116 mm, the length of the connecting rod is 183 mm, the force P is 710 N and the angle theta is 0.56 radians. Determine the value of M in Nm.A forklift and its driver have a total weight of 50000 and the center of mass in at G. What is the reaction force on each of the wheels when the 8000 weight load is pulled up with an acceleration of 1.5 m/s^2? (a= 1.2 meter, b= 0.9 meter, c= 1.7 meter, h= 3.5 meter)
- 4. Determine a general expression D for the normal force N, exerted m by the smooth vertical wall on the A uniform slender bar of mass m B 30° and length L. The mass of the cylinder is m, and all bearings are ideal. Determine the value of m, which makes (a) N, = mg/2 and (b) N, = 0 L 30° 3 E 2L 3 m1B. 2. The 4-m boom shown has a mass of 60 kg and is pinned to the back of the truck at point A and secured by a cable at C. Calculate the tension in the cable and the magnitude of the pin force at 4 if the truck accelerates at 5 m/s?. 4 m 60°A 2 mChapter 3, Problem 3/010 Incorrect The horizontal force P = 466 N. Determine the normal reaction forces at A and B. The mass of the cylinder is m = 9 kg and that of the cart is M = 43 kg. Neglect all friction. P Answers: NA = 68.8 X NB = 36.5 A 57° m B N N 57° M
- Solve it correctly please. I will rate accordingly with 4votes. A 275-N solid sphere rests on a 35-degree inclined plane from thehorizontal. If the sphere has a diameter of 30 cm, calculate themagnitude of a horizontal force P passing through the center of thesphere and the reaction force of the inclined plane in order tomaintain the sphere at rest.A large symmetrical drum for drying sand is operated by the geared motor drive shown. If the mass of the sand is 740 kg and an average gear-tooth force of 2.60 kN is supplied by the motor pinion A to the drum gear normal to the contacting surfaces at B, calculate the average offset X of the center of mass G of the sand from the vertical centerline. Neglect all friction in the supporting rollers. Assumer = 110 mm, R= 695 mm, 0 = 24° Detail of contact at B Answer: X mmA light fixture of negligible mass, has three applied forces acting on it as shown. |F,| = 4 kN 1.2 m 1.2 m 1.2 m 2.8 m |F,| = 6 kN - y 45° |F,| = 5 kN Using the coordinate system shown, determine in kilonewtons the x component of the reaction force at o - Rox Answer: