A cyclist is riding a bicycle at a speed of 20 mph on a horizontal road. The distance between the axles is 42 in., and the mass center of the cyclist and the bicycle is located 26 in. behind the front axle and 40 in. above the ground. If the cyclist applies the brakes only on the front wheel, determine the shortest distance in which he can stop without being thrown over the front wheel.

Q: 25 Determine: 1) The velocity of the ball as it passes through point B. 2) The tension TA in the…

A: 1) Velocity of ball as it passes point B:   Applying conservation of energy between points A and B-…

Q: A rocket injects a satellite with a certain horizontal velocity from height of 880 km from the…

A: According to the given information we have the height of the satellite which is 880km from the…

Q: Problem 4.. The 4-kg rod AB is hanging in the vertical position. A 2-kg block, sliding on a smooth…

A:

Q: A satellite describes an elliptic orbit of minimum altitude 606 km above the surface of the earth.…

A: Write the given data:

Q: A 5-kg bag is gently pushed off the top of a wall and swings in a vertical plane at the end of a…

A: Mass, m=5kg Tension, T=100N

Q: A chain, which weights 1 kg and is 1 m long, is lowered from a height of 1.5 m. How big is the force…

A: The force with which the chain acts on the ground is given by, Here, F1 represents the force on the…

Q: A ball has a weight of 3-lb strikes a 5-lb rod at a point C which far away from A with a value of x…

A: Givenweight of ball m1=3lbweight of rod m2=5lbx=3ftinitial velocity of the ball Vi=6ft/scoefficient…

Q: A gum with mass m is attached to the rim of a disk with mass M and radius R The disk and the gum Is…

A: Given that, Mass of the gum=m,Mass of the disk=M,Radius of the disk=R,Initial angular speed of…

Q: Four pins slide in four separate slots cut in a horizontal circular plate as shown. When the plate…

A: FBD is the representation of the forces acting on the body. Here the frame of reference the disc is…

Q: Three identical balls whose mass are 1.74 kg are adjacent to each other, as shown in the figure.…

A: Given, Three identical balls. Mass of each ball , M = 1.74 kg.

Q: The platform swing consists of a 190-lb flat plate suspended by four rods of negligible weight. When…

A:

Q: Q2. Mechanism on a slippery slope. Two uniform bars AB and BC, each of mass m, are connected to each…

A:

Q: Two uniform cylinders, each of weight W = 14 lb and radius r = 5 in., are connected by a belt as…

A: Draw the schematic diagram for the above problem. Now write the expression of velocity with the…

Q: 3/51 The 4-oz slider has a speed e = 3 ft/sec as it passes point A of the smooth guide, which lies…

A: Answer: The magnitude R of the force which the guide exerts on the slider: Just before it passes…

Q: A section of track for a roller coaster consists of two circular arcs AB and CD joined by a straight…

A:

Q: A 130-lb wrecking ball B is attached to a 45-ft-long steel cable AB and swings in the vertical arc…

A: The normal force acting on the ball by considering the vertical forces are…

Q: Disk A has a mass of 250 g and is sliding on a smooth horizontal surface with an initial velocity…

A:

Q: A 1-oz bullet is fired with a horizontal velocity of 750 mi/h into the 18-lb wooden beam AB. The…

A: Given, Mass of Bullet (Wb) = 1 oz Mass of Wooden Beam (Ww) = 18 lb Horizontal Velocity of bullet…

Q: A 400-kg satellite is placed in a circular orbit 6394 km above the surface of the earth. At this…

A: Given data as per the question Mass of the satelite =400 kg  orbital speed = 20 000 km/h…

Q: For a system of N particles on which an external force is acting, show that the centre-of-mass moves…

A: Let an external force Fexternal be acting on a system of N particles. Now ,  From the newtons second…

Q: A slender rod CDE of length L of Mass m is attached to a pin support at its midpoint D. A second and…

A: Given data Mass of the rod = m Coefficient of restitution = e To draw the impulse–momentum diagrams…

Q: Slider C has a mass of 0.5 kg and may move in a slot cut in arm AB, which rotates at constant speed…

A:

Q: During a high-speed chase, a 2400-lb sports car traveling at a speed of 100 mi/h just loses contact…

A: The velocity of the car is The mass of the car is

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

A:

Q: For the system of particles as shown, determine (a) the position vector r of the mass center G of…

A:

Q: A pilot flies an airplane at a constant speed of 780 km/h in the vertical circle of radius 1200 m.…

A: It is given that,   velocity, v = 780 kmph                                              v =…

Q: Problem #1: For the system of particles as shown, determine (a) the position vector r of the mass…

A:

Q: A 2-kg small block B fits inside a smooth slot cut in arm OA. The arm rotates counterclockwise in a…

A:

Q: Show that the angular momentum HB of a rigid body about point B can be obtained by adding to the…

A:

Q: A pilot of mass m executes a vertical dive then follows a semi-circular arc until it is going…

A:

Q: A device consists of eight balls each of mass 0.7 kg attached to the ends of low-mass spokes of…

A: Given Data Mass of ball is : mb=0.7 kg Length of spokes is : Ls=1.4 m Radius of ball is : rb=0.7 m…

Q: Greek engineers had the unenviable task of moving large columns from the quarries to the city. One…

A: The free-body diagram of the wheel is  Here, W is weight, P is force with which ox pulls, f is…

Q: In a shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg,…

A: Given:- Mass of planet, M=9.70 x 1025 Mass of shuttlecraft, m= 4500 kg The radius of the orbit, r=…

Q: A 45 g bullet is fired with a velocity of 400 m/s at an angle ø = 5 ° into a square panel whose…

A:

Q: A smooth can C, having a mass of 5 kg, is lifted from a feed at A to a ramp at B by a rotating rod.…

A:

Q: For the helicopter shown, the cab weights 1000 kg and is initially at rest. It is known that the…

A: Given data For the helicopter shown, the cab weights 1000 kg and is initially at rest. It is known…

Q: A wheel in the shape of a disk of radius R and mass M has moment of inertia about the centre BM R2…

A: given; moment of inertia about the centre (I)=βMR2v1=vv2=v3sinθ=3/5cosθ=4/5 small ball…

Q: H.W. 2: A shaft carries five masses A, B. C, D and E which revolve at the same radius in planes…

A:

Q: Four pins slide in four separate slots cut in a horizontal circular plate as shown. When the plate…

A: For pin P1 : In the system given, the external forces acting on the pin P1 are, the reaction force…

Q: The 1500-lb cannon shown fires an 12-lb projectile with a muzzle velocity of 1200 ft/sec measured…

A: Conservation of momentum :- Initial momentum is equal to the final momentum.  M1 U1 +M2 U2 = M1 V1…

Q: A 10-kg block B is suspended from a 2 m cord attached to a 15-kg cart A, which may roll freely on a…

A:

Q: Two 2.6-lb collars A and B can slide without friction on a frame, consisting of the horizontal rod…

A:

Q: An object of mass mị slides on a sloped block of mass M2, which in turn slides on a horizontal…

A: Given : To find : Equation of motion of block 2

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.