BackCalculate the torque (magnitude and direction) about point O due to the force F in each of the cases sketched in Fig. E10.1. In each case, both the force F and the rod lie in the plane of the page, the rod has length 4.00 m, and the force has magnitude F = 10.0 N.
(I) A 58-kg person riding a bike puts all her weight on each pedal when climbing a hill. The pedals rotate in a circle of radius 17 cm. How could she exert more torque?
An engineer estimates that under the most adverse expected weather conditions, the total force on the highway sign in Fig. 11–33 will be = (± 2.4 î - 4.1 ĵ) kN, acting at the cm. What torque does this force exert about the base O?
The bolts on the cylinder head of an engine require tightening to a torque of 95 m-N. If the six-sided bolt head is 15 mm across (Fig. 10–55), estimate the force applied near each of the six points by a wrench.
In FIGURE EX12.19, for what value of Xaxle will the two forces provide 1.8 Nm of torque about the axle?
A particle of mass m uniformly accelerates as it moves counterclockwise along the circumference of a circle of radius R: = î R cos θ + ĵ R sin θ with θ = ω₀t + (1/2)αt² , where the constants ω₀ and α are the initial angular velocity and angular acceleration, respectively. Determine the object’s tangential acceleration tan and determine the torque acting on the object using .
A metal bar is in the -plane with one end of the bar at the origin. A force is applied to the bar at the point , . What are the magnitude and direction of the torque with respect to the origin produced by ?
One force acting on a machine part is F = (-5.00 N)i + (4.00 N)j. The vector from the origin to the point where the force is applied is r = (-0.450 m)i +(0.150 m)j. In a sketch, show r, F, and the origin.
A machinist is using a wrench to loosen a nut. The wrench is 25.0 cm long, and he exerts a 17.0-N force at the end of the handle at 37° with the handle (Fig. E10.7). What is the maximum torque he could exert with this force, and how should the force be oriented?
(II) The origin of a coordinate system is at the center of a wheel which rotates in the xy plane about its axle which is the z axis. A force F = 215 N acts in the xy plane, at a 28.0° angle to the x axis, at the point x = 28.0 cm, y = 33.5 cm. Determine the magnitude and direction of the torque produced by this force about the axis.
A machinist is using a wrench to loosen a nut. The wrench is 25.0 cm long, and he exerts a 17.0-N force at the end of the handle at 37° with the handle (Fig. E10.7). What torque does the machinist exert about the center of the nut?
(II) A particle is located at = ( 5.0î + 3.5ĵ + 6.0k̂)m. A force = (8.0ĵ - 4.0k̂) N acts on it. What is the torque, calculated about the origin?