A uniform, solid cylinder of mass mc=7.42 kg and radius R=.26 m with Icm=1/2MR^2 is attached at its axle to a string. The string is wrapped around a small ideal pulley and is attached to a hanging block of mass mb=2.73 kg as indicated in the figure above. You release the objects from rest and the cylinder rolls without slipping. What is the magnitude of the acceleration of the block?
Q: A box of mass m,=9.4 kg on a rough inclined plane of angle a= 58° is connected with a string of…
A:
Q: A cigarettes dispenser requires a south African five-rand (R5) coin with a mass of 9.5 g to dispense…
A: Given: m = 9.5 g x0 = 4 mm v0 = 0 To find: natural frequency and velocity when it is 2mm below
Q: AITS-FT-I-PCM-JEE(Main)/19 A hollow cone (M, R) of semi-angle 30° is rolling without slipping on a…
A: Given data: Angle = 30 degree Angular speed = 2 rad/s Need to determine the energy due to the motion…
Q: 6. A shaft with 3 metres span between two bearings carries two masses of 10 kg and 20 kg acting at…
A:
Q: 'A spade is modelled as a uniform rod, of mass 2kg and length 90cm, attached to a uniform square…
A: The free body diagram of the rod with spade is given below,
Q: Question C4. Assume you are designing a rubber mat with some frictional characteristics for a crate…
A:
Q: Q3. A 10-kg slider A on a smooth vertical guide is connected to a 6-kg wheel B of radius 120 mm…
A:
Q: A pulley system, as shown in the figure, is released from rest. P M. R, mA=3.6 kg: mB=6.2 kg and mp…
A: We have given the problem
Q: A flywheel of mass 120 kg and radius of gyration 450 mm is rotating at 760 r.p.m. It is brought to…
A: given data
Q: A block of mass M= 50 kg rests on a horizontal plane as shown below in Figure- 2a. Find the…
A: Given: The mass of block, M = 50 kg The coefficient of static friction, µs = 0.25
Q: At the instant shown in Figure 5, the block A is descending at 1.5 m/s. The cylinder B is rotating…
A: Given, Stiffness of spring,k=876N/mInitial compression, xo= 15cm xo=0.15mVA=1.5m/sh=1.2mMoment of…
Q: .A cylindrical roll (mass 2 kg, radius = 0.5 m) of paper is passing through point A. It is pin…
A: Given data: The mass of the cylindrical roll is, m=2 kg. The radius of the cylindrical roll is,…
Q: The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…
A:
Q: wheel of mass 120 kg and radius of gyration 450 mm is rotating at 760 r.p.m. It is brought to rest…
A: Given:mass of flywheel, m=120 kgradius of gyration, k=450 mm or 0.45 mRotation, N=760 rpmmass of…
Q: In the figure, two 9.10 kg blocks are connected by a massless string over a pulley of radius 2.10 cm…
A:
Q: 5- (Work, Energy) The block M in Fig (a) weighs 500N and has a downward velocity of 5 m/s at the…
A:
Q: A uniform wheel of 60 cm dia. and weighing 1000 N rests against a rectangular block 15 cm high…
A: Given Diameter of the wheel = 60 cm = 0.6 m Weight of the wheel = 1000 N Block height = 15 cm = 0.15…
Q: A uniformly dense rod with a length of 4 m and a mass of 6 kg is free to rotate around a…
A:
Q: One end of a uniform 2.60m rod with a mass of 38.0kg is supported by a cable connecting one end to…
A: Given:
Q: The ABCD structure illustrated on the left is used to stop the rotational movement of an inertia…
A: Given data, Static friction, μs=0.4 Kinetic friction, μk=0.3 Applied couple in the wheel, M = 300 Nm…
Q: 4) A ball of mass m and radius R rests at the edge of a step barrier of height h as shown in the…
A:
Q: a The pendulum shown in the figure consists of a uniform thin plate of mass 750 grams with…
A: The problem is based on mechanics and can be solved as :
Q: 1.p.m. Añs. Example 18.7. A loaded Porter governor has four links each 250 mm long, two revolving…
A: A loaded porter governor Where M is the mass of the sleeve m is the mass of each ball h is the…
Q: Consider the system shown in the figure with m1 = 20.0 kg, m2 = 12.5 kg, R = 0.200 m and the mass of…
A: Given, M=5 kgm1=20 kgm2=12.5 kg R=0.2 m h=4 m
Q: 5. A uniform solid cylinder with M 2R mass M and radius 2R rests on a M horizontal tabletop. A…
A:
Q: Consider a hollow clay cylinder, which has a moment of inertia 55 kg-m2. The cylinder is free to…
A: MOI; I = 55 range of force; F = 0 to 75 N radius range; R = 0 to 10m angular distance; o = 4π time…
Q: A multi cylinder engine is fitted with a flywheel of mass 0.7 ton ,which runs at a mean speed of 440…
A:
Q: A pulley is mounted on a frictionless axis and then the pulley is attached to the higher end of the…
A:
Q: Problem 1: A uniform thin rod of mass m = 4.4 kg and length L = 1.2 m can rotate about an axle…
A: Given question belongs to the Engineering Mechanics subject. Can solved by using formula, 》 Net…
Q: Idler (massless) pulley m 2k I, 2m Fig (A) Fig (B) m4 K k2. kJ2 C,G m3 m 1/2 k/2. k2 m2 m, k2. ka/2…
A: The Degree of freedom is equal to the number of independent variables in the system in order to…
Q: A cigarettes dispenser requires a south African five-rand (R5) coin with a mass of 9.5 g to dispense…
A: determine the velocity of the coin when it is 2 mm below its resting position
Q: A wheel of mass mg = 5 kg, outer radius r, = 0.6m, r; = 0.3m, and mass moment of inertia lG =…
A: Draw the free-body diagram of the wheel.
Q: rolling wheel, pulley and block: x(t) O(t) m, a m, is a uniform disk with mass m,, radius r rolls…
A: It is asked to write the equation of motion for the system shown below
Q: A bar is attached to the spring at the point C. The left end of the bar is pin supported and can…
A:
Q: The figure shows a pulley of mass mo that is modelled as a disk of radius R. It is fixed in pos but…
A: Kinetic energy of the system (KE)KE=12mx˙2+12Iθ˙2KE=12mx˙2+12moR212×x˙R2…
Q: A flywheel of mass 120 kg and radius of gyration 450 mm is rotating at 760 r.p.m. It is brought to…
A:
Q: Mass (m)=1100 kg Bounce Radius of gyration (r)=1 m Pitch Distance between front axle and C.G (…
A:
Q: Q2] The ita center of gran'ty is (106.7cm) behind the front axle & wheelbame is (22'8.6 cm) . The…
A: Given: Sprung weight Ws=9.79 kN CG a=106.7 cm behind the front axle wheelbase l=228.6 cm…
Q: A cylinder of mass M=500kg has an axle of radius b=1m and a spool of radius R=3m. It is placed…
A:
Q: Clutch Mechanism 8. In the clutch mechanism shown, two flat circular disks of radius R are mounted…
A: Given is variation of pressure with respect to radius P(r) = Poe-kr (a) since pressure varies with…
Q: Consider a hollow clay cylinder, which has a moment of inertia 87 kg-m2. The cylinder is free to…
A: a)θ=2 rev =2×2π rad t=10.0 sec⇒θ=12α t2⇒4π=12RFIt2⇒RF=8πIt2=8π×87100⇒RF=21.86 Nmif R=2 m ,…
Q: Consider the system of two blocks shown in (Figure 1). There is no friction between block A and the…
A: We have to find mass of block A
Q: k Thin disk of mass m, no slip FIGURE P2.42 2,43. The coefficient of friction between the disk and…
A:
Q: Using the analytical method in the mechanism operating in the vertical plane in the figure, find the…
A: Given: The radius of gear 3, r3 = 40 cm The radius of gear 4, r4 = 20 cm The radius of gear 5, r5 =…
Q: 5. Car doors are easy to slam shut but difficult to press shut by hand force. The door lock as two…
A: Spring constant = 50,000 N/m I= 2.5 kg-m^2( mass moment inertia) V= door speed = 0.8 m/s R= radius…
Q: The assembly shovin in the figure below consists of a thin rod of length e- 22.4 cm and mass m= 1.20…
A:
Q: Example 1: Four masses m1, m2, m3, M4 are 200 kg. 300 kg. 240 kg and 260 kg. respectively. The…
A:
Q: Two masses with mass mA = 3.051 kg and mB = 21.09 kg, respectively, hang with a massless rope over a…
A: Mass of A, mA=3.051 kg Mass of B, mB=21.09 kg Mass of pulley, mC=40.4 kg The radius of the disc,…
A uniform, solid cylinder of mass mc=7.42 kg and radius R=.26 m with Icm=1/2MR^2 is attached at its axle to a string. The string is wrapped around a small ideal pulley and is attached to a hanging block of mass mb=2.73 kg as indicated in the figure above. You release the objects from rest and the cylinder rolls without slipping.
What is the magnitude of the acceleration of the block?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
- A box of mass m = 0.7 kg is attached to a rope which is wrapped around a physical pulley with a radius of R = 10.2 cm and a rotational inertia of I = 0.075 kg·m2. When the box is released it starts to fall down with a constant acceleration and, at the same time, the pulley starts to spin up, see the picture below. Assuming that the pulley is frictionless, what is the magnitude of the box's acceleration and what is the tension in the rope? The acceleration of the box, a ? The tension in the rope, T? If the box starts from rest and traveled downwards a distance of h = 28 cm, what is the speed of the box and what is the angular velocity of the pulley? The speed of the box, v =? The angular velocity of the pulley, ω? -------------------------------------------------------------- A Merry Go Round carousel has a radius of R = 2.4 m and a rotational inertia of I = 695 kg·m2. A 75‑kg student is on the carousel at the midpoint between the carousel's center and the rim (at R/2 distance from…A single cylinder reciprocating engine has speeded 300 RPM. Stroke 250 mm, mass of reciprocating parts 50 kg. Mass of revolving parts at 150 mm radius 37 kg. If two fourth of the reciprocating parts and all the revolving parts are to be balanced, find (i) The balance mass required at 400 mm radius (ii) The residual unbalanced force when the crank has rotated 45° TDC.Please answer: 3, 4, 5, 6, 8, 9, 10, 12 The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (1) If the datum for gravitational potential energy is set as shown below, the the gravitational potential energy of the wheel at the state 1 is 0 N m(two decimal places) (ANSWER IS 0) (2) If the datum for gravitional potential energ is set as shown below, the gravitational potential energy of the wheel at the state 2 is 0 N m (two decimal places) (ANSWER IS 0) (3) At state 1, how long the spring is stretched from its unstretched state (length…
- A flywheel of mass 120 kg and radius of gyration 450 mm is rotating at 760 r.p.m. It is brought to rest by means of block brake system as shown in the figure. The mass of the brake drum assembly is 5 kg. The brake drum is made of cast iron having specific heat 470 J / kg°C. and the brake system provides a braking torque of 380 N-m. If the diameter of brake drum is 300 mm, the coefficient of friction is 0.35. find 1. The force (P) to be applied at the end of the lever for the clockwise rotation of drum. 2. Assuming that the total heat generated is absorbed by the brake drum only, calculate the temperature riseA disk and a ring both homogeneous with masses M1=0.94 kg and M2=M1/6 and radii R1=0.36 m and R2=R1/2, respectively, are coupled by an ideal C strap, as shown in the figure below . At a given moment, a work of modulus W=35 J is performed on the system that, starting from rest, makes the disk and the ring rotate around their symmetry axes. In view of this, answer: what is the value of the linear velocity v at the edge of the disk? Consider that the strap does not slide over the edge of objects. Choose one: Escolha uma: a. 14,80 m/s b. 12,68 m/s c. 10,57 m/s d. None of the other alternatives e. 19,02 m/s f. 16,91 m/s g. 8,46 m/s h. 6,34 m/sConsider the system of two blocks shown in (Figure 1). There is no friction between block A and the tabletop. The mass of block B is 4.80 kg. The pulley rotates about a frictionless axle, and the light rope doesn't slip on the pulley surface. The pulley has radius 0.200 m and moment of inertia 1.30 kg⋅m2. If the pulley is rotating with an angular speed of 8.00 rad/s after the block has descended 1.20 m, what is the mass of block A?
- A cylinder of mass M=500kg has an axle of radius b=1m and a spool of radius R=3m. It is placed upright on a table and the string is pulled with a horizontal force F=750N to the right as shown in the figure. The cylinder is rolling without slipping and the coefficient of static friction between the cylinder and the table is µs =0.34. I = 1/2 MR^2a. Determine the linear velocity of the cylinder when it travels a distance D=2m. c. Determine the linear acceleration of the cylinder. d. Determine the friction force acting on the cylinder. e. What is the maximum pulling force, F, for which the cylinder will roll without slipping.A beam, uniform in mass, M = 47.6 kg and length L = 10.2 m, hangs by a cable supported at point B, and rotates without friction around point A. On the end far of the beam, an object of mass m = 24.3 kg is hanging. The beam is making an angle of θ = 30.9° at point A with respect to the + x-axis. The cable makes an angle φ = 21.1° with respect to the - x-axis at B. Assume ψ = θ + φ. a. Enter an expression for the lever arm for the weight of the beam, lB, about the point A. b. Find an expression for the lever arm for the weight of the mass, lm. c. Write an expression for the magnitude of the torque about point A created by the tension T. Give your answer in terms of the tension T and the other given parameters and trigonometric functions. d. Enter an expression the horizontal component of the force, Sx, that the wall exerts on the beam at point A in terms of the tension T, given parameters, and variables available in the palette. e. Enter an expression for the vertical component of…A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: (a) The magnitude of the mass in plane E and its angular position relative to the mass in plane A (b) The distance of the plane E from plane A (c) The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible solution.
- A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. USING THE METHOD OF DRAWING m*r and m*r*l diagram Determine: The magnitude of the mass in plane E and its angular position relative to the mass in plane A The distance of the plane E from plane A The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible…A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: The magnitude of the mass in plane E and its angular position relative to the mass in plane A The distance of the plane E from plane A PS – Use graphical methods to solve the balancing problemA shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible solution. PS – Use graphical methods to solve the balancing problem