Chapter 17, Problem 47P

The man pushes on the roller with force P through a handle that connects to the central axle of the roller. If the coefficient of static friction between the 43-lb roller and the floor is g = 0.16, determine the maximum force P that can be applied to the handle, so that roller rolls on the ground without slipping. Assume the roller to be a uniform cylinder. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 32.2 ft/s². Your Answer: Answer 30° units 1.5 ft

The man pushes on the roller with force P through a handle that connects to the central axle of the roller. If the coefficient of static friction between the 49-lb roller and the floor is s = 0.22, determine the maximum force Pthat can be applied to the handle, so that roller rolls on the ground without slipping. Assume the roller to be a uniform cylinder. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 32.2 ft/s2. 1.5 ft 30° Your Answer: Answer units

1

Problem: The motorcycle shown in Fig. below has a mass of 125 kg and a center of mass at G1 , while the rider has a mass of 75 kg and a center of mass at G2 . Determine the minimum coefficient of static friction between the wheels and the pavement in order for the rider to do a "wheely,“ i.e., lift the front wheel off the ground as shown in the photo. What acceleration is necessary to do this? Neglect the mass of the wheels and assume that the front wheel is free to roll. G2 0.3 m 0.6 m B- 0.4 m 0.4 m 0.7 mA

Yes Ⓒ No Movers are trying to set up an art gallery. They attempt to drag a human-size statue of a soda can with mass m = 120 kg by tying a rope around it. Determine if the movers can drag the statue along the floor without it tipping if the coefficients of static friction and kinetic friction are found to be μ = 0.37 and Hk = 0.26, respectively. What is the maximum force the movers can apply without tipping the statue? The can has a height of h = 1.9 m and the rope is tied 1 m off the ground. Assume the statue to be a solid cylinder with radius r = 0.2 m and constant density. Can the statue be dragged without tipping? 313.44 y = 1.7 y x N F Ftip If the movers can apply the force required for the statue to slip, where is the maximum height they should tie the rope to safely drag the statue? x m Å UBC Engineering

A 182 lb man climbs up the ladder and stops at the position shown when he senses the ladder is on the verge of slipping. Determine the coefficient of static friction between the ladder and the ground at A if the angle theta is 60 degrees. The ladder has a negligible weight and the wall at B is smooth. 3 ft- G 10 ft A

The man is pedaling his bicycle at a constant speed up a slippery slope of 5%. The man and the bicycle have a total mass of 82 kg centered at G. If the rear wheel is about to slip, find the coefficient of friction u between the tire and the road. If the coefficient of friction were doubled, what friction force would act on the rear wheel? (Why can we neglect the friction under the front wheel?)

The crane truck has a weight of 10750 lb and a center of gravity at point . The parking brake only locks the rear wheels of the truck, so the front wheels are free to rotate. Determine the maximum force F applied at the angle 0 = 36° that can be exerted on the crane without it slipping or tipping for each of the following cases: Case 1: The static friction coefficient between the rear tires and the ground is μ = 0.060. Case 2: The static friction coefficient between the rear tires and the ground is μ. = 0.35. h CGD . п d k a жь D с LL BY NC SA 2013 Michael Swanbom ၅၁ Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 5 ft b 9 ft с 5.5 ft d 3.5 ft h 11 ft For Case 1, the constraint is Select an answer Fmax lbs. For Case 2, the constraint is Select an answer F max lbs. and and

Determine the range of the force P required to keep the system stationary. P acts parallel to theground, and the coefficients of static friction at the contacting points are ?? = 0.2, ?? = 0.3,and ?? = 0.4. Both the 100-kg roller and 40-kg hollow cylinder have a radius of 150 mm (useg = 9.81 m/s2).