A vehicle krying a wheel base before coming to rest on applying the brakes to the (i) rear wheels (ii) front wheels (iii) all the four wheels The coefficient of friction between the tyres and the road is 0.5. of 3.2 nf 3 a centre of mass at 1.4 t f J3.3 he rear wheels and 55 AL3 grom the ground level. It moves on a level ground at a speed of 54 km/h. Determine the distance moved by the car
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- The coeffient of static friction between the uniform bar AB of weight W and the ground is 0.45. Find the smallest angle and the corresponding force P that would initiate simultaneous tipping and sliding of the bar.Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair is denoted by G. The coefficient of static friction is 0.2 at B (the contact point between the chairs) and 0.35 at A, C, and D. Determine the smallest force P that would cause sliding.The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the smallest force P and the corresponding angle that would cause impending sliding of the block. The angle of static friction between the block and the ground is s.
- The cone clutch transmits the torque C through a conical friction surface with cone angle . The inner and outer radii of the friction surface are a and b, respectively. The left half of the clutch is keyed to the shaft, and the right half drives a machine (not shown) through a gear attached to its outer rim. Assuming uniform pressure on the friction surface, show that the maximum torque that can be transmitted by the clutch isThe square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a mean radius of 75 mm. The static and kinetic coefficients of friction between the gear and the screw are 0.12 and 0.06, respectively. The input torque applied to the screw is C0=10Nm. Assuming constant speed operation, determine the output torque C1 acting on the gear.The leather rein used to fasten the horse to the hitching rail weighs 3.5 oz per foot. The coefficient of static friction between the rail and the rein is 0.6. If a 34-lb force acting on the bridle is sufficient to restrain the horse, determine the smallest safe length L for the free end of the rein.
- A uniform plank is supported by a fixed support at A and a drum at B that rotates clockwise. The coefficients of static and kinetic friction for the two points of contact are as shown. Determine whether the plank moves from the position shown if (a) the plank is placed in position before the drum is set in motion; and (b) the plank is first placed on the support at A and then lowered onto the drum, which is already rotating.3ft 30° 4 ft a Small aate weighing 2e6 contains a ball weighing 3 es. Rey are released fom rest at 'The which has friction of 0.3 with The epate, at the bottom of the incline. the crate is stopped by continues, mouing out of the crate, The ball Smo0thly impacts weigh ing 4 eb, which is suppated by Apring of const ant 50 lb/ft. The coefficient of rest itution for This collision 0.6. The ball bounces away. top of the incline, a coeffizi ent of Kihe tre bumper, but the ball a platter a a is Frnd : The maximum compretsion of The speing.What is the largest moment that can be applied without causing motion? The disk is 50 lb and the bar is 25 lb. The static friction is 0.6. Express your answer in in-lb (inch-pounds) with three significant figures. 5 in (5) force TOV M U from moving by exerting a horize 20 in 30° -ooges di 081 box of 08 styis m
- O Week6 Friction_21-22.pdf ds/Week6_Friction_21-22.pdf 4. The mine car and its contents have a total mass of 6000kg and a centre of gravity at G. If the coefficient of static friction 10 kN Doo→ between the wheels and the 0.9 m • G tracks is u = 0.4 when the wheels are locked, find the normal force acting on the front wheels at B and the rear /0.15 m A 0.6 m 1.5 m- wheels at A when the brakes at both A and B are locked. Does the car move? [Ans. NA = 16.5 kN, Ng =42.3 kN, the car does not move] ily TWO WAY POWER 09889 NO MODE SETUP4) Block B weighing 500 N rests on block A which weighs 300 N. The dynamic coefficient of friction be- tween contact surfaces is 0.4. At wall C there are rollers whose friction we can neglect. What is the ac- celeration of body A when a force F of 5000 N is ap- plied? F De gem B A 20°From the otating shaft shown below, a porce OF l00 N was pulled to re duce the chapt's angular speed through its cables. What is the maximum cable tension if the chapt otates in a Counter clockwise direction ? Use coeppicient of Friction on shapt equal to OV D.2 200 mm 6500 m m 30 mm p=100 N