A wedge of mass 2m placed on a rough surface, its part AB is circular of radius R. A small block of mass m is released from rest at A. Find minimum value of friction between wedge and ground so that wedge remains at rest.
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- 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 40-lb spool is suspended from the hanger GA and rests against a vertical wall. The center of gravity of the spool is at G and the weight of the hanger is negligible. The wire wound around the hub of the spool is extracted by pulling its end with the force P. If the coefficient of static friction between the spool and the wall is 0.25, determine the smallest P that will extract the wire.Draw the FBD of the entire frame, assuming that friction and the weights of the members are negligible. How many unknowns appear on this FBD?
- The contact surface between the 36-lb block and 20-lb homogenous cylinder is frictionless. Can the system be in static equilibrium 0n the rough inclined plane?The coefficient of rolling resistance between the 30-kg lawn roller and the ground is r=0.1. (a) Determine the force P required to pull the roller at a constant speed. (b) What force P would be needed to push the roller at a constant speed?Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the box, the total mass of the box with Mary in it is 115 kg. The box starts at rest at the beginning of the incline. The hill is at an incline of 28 degrees with respect to the horizontal.The static and kinectic friction between the box and hill is 0.4 and 0.2 respectively. Assume the box is sliding downhill. a. What is the magnitude of the acceleration of the box? (same as Problem 3b)b. If the hill is 5m tall, what is the Mary's speed when she reaches the bottom?c. At the bottom of the hill, the ground becomes level, but the coefficients offriction do not change. How far will Mary slide before she comes to a stop?
- 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.Peturn to tnis part. NOTE: This is a multl-part question. Once an answer is submitted, you wII be unabie A 1-lb ball A and a 2-lb ball B are mounted on a horizontal rod which rotates freely about a vertical shaft. The balls are held in the positions shown by pins where ra = 10 in. The pin holding Bis suddenly removed and the ball moves to position C as the rod rotates. Neglect friction and the mass of the rod and know that the initial speed of A is VA = 8 ft/s. VB 16 in. 16 in. -8 in.- A В Determine the radial and transverse components of the acceleration of ball B immediately after the pin is removed. | ft/s?. ]f/s?. The radial component is The transverse component isA small roller in a mechanics setup is pushed by a force F = 4 N as shown in the sketch. The mass of the roller is 0.5 kg 8cm 4cm 3cm 3cm Negleting friction and knowing that the roller is translating only, calculate the normal force at the front wheel (B).
- 3) The cart shown below weighs 45o lb (weight located at CG, at geometric center of cart). If the wheels are locked, and the coefficient of static friction between the wheels and the ground is o.4 (), will the cart slide down the hill? Yes/No: 8 ft 3 ft CG 1 ft 6 ft 154) 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°A uniform ladder of length 12 mand mass 30 kg rests with one ed on rough horizontal ground and the other end against a smooth vertical wall. The ladder is indined 65°. The coefficient of friction, H, between the ladder and the ground is 0.35. A woman of mass 65 kg is slowly dimbing up the ladder. She wants to know how far up the ladder she can dimb safely. Drawa diagramshowing all the force adting on the ladder when the woman is x metres fromthe foot of the ladder. (a) (b) Find the reaction of the ground on the ladder. (c) Show that the reaction of the wall on the ladder is less than 33.25g By taking moments about the base of the ladder, find how far up th ladder she an dimb safely. (d)