Exam 12: Torque

A uniform solid sphere is rolling without slipping along a horizontal surface with a speed of 5.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal.What is the speed of the sphere after it has rolled 3.00 m up the ramp,measured along the surface of the ramp?

Two identical ladders are 3.0 m long and weigh 600 N each.They are connected by a hinge at the top and are held together by a horizontal rope,1.0 m above the smooth floor forming a symmetric "A" arrangement.The angle between the ladders is 60° and both ladders have their center of gravity at their midpoint.What is the tension in the rope?

A heavy boy and a lightweight girl are balanced on a massless seesaw.If they both move forward so that they are one-half their original distance from the pivot point,what will happen to the seesaw? Assume that both people are small enough compared to the length of the seesaw to be thought of as point masses.

For the vectors shown in the figure,find the magnitude and direction of × ,assuming that the quantities shown are accurate to two significant figures.

A force = 3.00 N - 2)00 N Acts at a location = 1)00 m + 2)00 m On an object. What is the torque that this force applies about an axis through the origin perpendicular to the xy-plane?

A uniform 300-kg beam,6.00 m long,is freely pivoted at P,as shown in the figure.The beam is supported in a horizontal position by a light strut,5.00 m long,which is freely pivoted at Q and is loosely pinned to the beam at R.A load of mass is suspended from the end of the beam at S.A maximum compression of 23,000 N in the strut is permitted,due to safety.The maximum mass M of the load is closest to

A uniform 300-kg beam,6.00 m long,is freely pivoted at P,as shown in the figure.The beam is supported in a horizontal position by a light strut,5.00 m long,which is freely pivoted at Q and is loosely pinned to the beam at R.A load of mass is suspended from the end of the beam at S.A maximum compression of 23,000 N in the strut is permitted,due to safety.Under maximum load,find the magnitude of the x component of the force exerted on the beam by the pivot at P.

A 10.0-kg uniform ladder that is 2.50 m long is placed against a smooth vertical wall and reaches to a height of 2.10 m,as shown in the figure.The base of the ladder rests on a rough horizontal floor whose coefficient of static friction with the ladder is 0.800.An 80.0-kg bucket of concrete is suspended from the top rung of the ladder,right next to the wall,as shown in the figure.What is the magnitude of the friction force that the floor exerts on the ladder?