A solid sphere of radius R, a solid cylinder of radius R, and a hollow cylinder of radius R all have the same mass, and all three are rotating with the same angular velocity. The sphere is rotating around an axis through its center, and each cylinder is rotating around its symmetry axis. Which one has the greatest rotational kinetic energy? the hollow cylinder both cylinders have the same rotational kinetic energy the solid cylinder all three objects have the same rotational kinetic energy the solid sphere
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Consider the image shown. Note that the forces in (b) and (d) make an angle of 45° with the wrench. The force in (a) is applied halfway along the length of the wrench. Assume that the wrenches and the magnitude of the force F are identical.
Select the option that correctly orders the magnitudes of the torques exerted on the bolts in (a) through (d) from least to greatest.
1) a < b < d < c
2) a < b = d < c
3) b < d < c < a
4) b = d < a < c
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- A metal rod 6.00 m long is held in a horizontal position. An object with mass 3.70 kg is suspended from a light rope that is attached 4.00 m from the left-hand end of the rod, as shown in the figure below. Take counterclockwise torques to be positive. For an axis at the right-hand end of the rod, what is the torque exerted on the rod by the tension in the rope? 6.00 m |axis 4.00 mA woman applies a torque to a nut with a wrench 0.250 m long. Because of the cramped space, she must exert a force upward at an angle of 70.0° with respect to a line from the nut through the end of the wrench. If the force she exerts has magnitude 46.0 N, what magnitude torque (in N · m) does she apply to the nut? (Assume that the force is applied at the end of the wrench.)Two forces, F1=100 N (Newton) and F2=20N, are applied on opposite sides of a door's knob at angles theta_1=30 degrees and theta_2=60 degrees respectively, causing the door to rotate (about the axis passing though its hinges). If the distance from the knob to the rotation axis is 0.8 meter, find the net torque exerted on the door and specify the direction of rotation of the door (in this problem, assume that the force F1 causes a counterclockwise rotation and F2 a clockwise rotation). A.) Net Torque = 26.14 N.m; the door rotates counterclockwise. B.) Net Torque = -25.4 N.m; the door rotates counterclockwise. C.) Net Torque = 123.8 N.m; the door rotates clockwise. D.) Net Torque = 1.784 N.m; the door rotates clockwise.
- You open a door by applying a force 1/2 m away from the hinge. The torque you applied was 100 N⋅m. However, the angle at which you pushed the door was 30 degrees from the face of the door. What amount of force did you apply? Please answer in units of newtons and your answer should be exact.A 10.0 m long ladder weighing 50.0 N rests against a smooth vertical wall. If the ladder is just on the verge of slipping when it makes a 50.0° angle with the ground find the coefficient of static friction between the ladder and ground. The ladder is in equilibrium. This means that the torque around ANY pivot point must be zero. In problems like this, you can pick the pivot point of your choice, and still solve for the correct forces. However, there is typically a choice for the pivot point that makes the problem solving steps possible or at least easier. This will depend on the problem, but often depends on the fact that the torque due to a force at the pivot point is zero. This lets you ignore those torque terms in your calculations. a. What is the best choice of pivot point for this problem? Select one: A. The base of the ladder B. The center of mass of the ladder C. The top of the ladder By selecting the base of the ladder, you can ignore the torque due to both the…A picture frame is hanging out from a wall as shown. You choose the origin to be where the picture frame touches the wall and counter-clockwise to be the positive torque direction. If the tension in the string between the wall and the picture frame is Twp = 67.3 N, theta = 121.6 degrees, h = 0.47 m, and phi = 14.8 degrees, what is the torque about the origin due to the tension in the string on the picture frame?
- (a) A person opens a 1.20 m wide door by pushing on it with a force of 57.5 N applied at the center of the door, at an angle perpendicular to the door's surface. What magnitude of torque (in N · m) is applied about an axis through the hinges? _________N · m (b) A man opens the same door, using the same force, again directed perpendicular to the surface, but now the force is applied at the edge of the door. What magnitude of torque (in N · m) is applied about the axis through the hinges now? _________N · mFor two existing torques, what third force at a given distance from the pivot will balance them? Imagine a meter stick set up as in the figure. It hangs from a central bracket, and two hanging masses can hang from it from each of their brackets. At a third location, a force probe can either pull up or pull down on the stick, depending on what is needed to balance the stick. The mass of the meter stick is 120 g. sketch the situation (drawing r1, r2, r3, F1, F2, and F3) and determine the magnitude (value) and direction (+ or -) of each torque. Don't include the mass of a bracket that would hold the hanging mass in place; assume the mass listed is the entire mass hanging at that point. For each trial, use the principle of equilibrium (where the sum of torques is zero) to calculate the third, unknown force acting at x3Question on attached image. In the drawing to the right, a 90.0 cm long metal bar having a mass of 0.500 kg is supported by two strings as shown. a) Determine the value of the tension in each string. b) Calculate the position of the center of mass from the left end of the torque bar.
- A wrench is used to apply a torque to a bolt. Forces F1 through F6 all have the same magnitude. The point of application of force F1 (and F4) is a distance d from the center of rotation of the bolt. The application points of F1, F2, and F3 are all distance d apart, as shown. Use the convention that counter-clockwise torques are positive; clockwise torques are negative. Determine the torque applied on the bolt by F6 in terms of the variables and angles given in the problem.(a) A woman opens a 1.35 m wide door by pushing on it with a force of 44.5 N applied at the center of the door, at an angle perpendicular to the door's surface. What magnitude of torque (in N · m) is applied about an axis through the hinges? (b) A girl opens the same door, using the same force, again directed perpendicular to the surface, but now the force is applied at the edge of the door. What magnitude of torque (in N · m) is applied about the axis through the hinges now?Consider the image below of a wheel that pivots about its center. Force 1 has size 176 N and acts 1.8 m from the center. The angle shown is 36 degrees. Force 2 has size 111 N and acts 0.7 m from the center. The angle shown is 30 degrees. Taking counterclockwise to be positive, calculate the net torque on the wheel, in N m. (Please answer to the fourth decimal place - i.e 14.3225)