2. A mass m and a spring of stiffness k are connected in series. The mass lies on a horizontal floor with coefficient of friction u. At t = 0, the free end of the initially unstressed spring is moved at a constant speed vo in a straight line directly away from the mass. Draw the FBD of the block, and Find: (i) the equation of motion of the block, (ii) the time ti at which the motion of the block is initiated, and (iii) the subsequent motion x(t) of the block

2. A mass m and a spring of stiffness k are connected in series. The mass lies on a horizontal floor with coefficient of friction u. At t = 0, the free end of the initially unstressed spring is moved at a constant speed vo in a straight line directly away from the mass. Draw the FBD of the block, and Find: (i) the equation of motion of the block, (ii) the time ti at which the motion of the block is initiated, and (iii) the subsequent motion x(t) of the block

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.48P: Find the smallest distance d for which the hook will remain at rest when acted on by the force P....

See similar textbooks

Similar questions

Show the complete solution. Put notes on steps. In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction pk = 0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude of P = 261.65 N at an angle e = 31.16° as shown. Knowing that the assembly is initially at rest, what is the velocity after 3s? Also, at this instant, find the tension in the cord and the velocity of block A.
A block of 1:6 kg mass is on a plane inclined to 50 for which the kinetic friction coecient is c = 0:12. The block is connected to a spring of constant k = 5 N=m by a string. The latter passes without slipping through a pulley which is assimilated to a 1 kg disc having a radius of 0:15 m. If the system is initially at rest and the spring has a zero elongation, what is the module of the speed of the block when it has slipped by 0:Five feet down the incline?
Block A in Fig. has mass 4.00 kg, and block B hasmass 12.0 kg. The coefficient of kinetic friction between block Band the horizontal surface is 0.25. (a) What is the mass of block C ifblock B is moving to the right and speeding up with an accelerationof 2.00 m/s2? (b) What is the tension in each cord when block B hasthis acceleration?
In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction μk = 0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude of P = 303.887 N at an angle θ = 35.38° as shown. Knowing that the assembly is initially at rest, what is the time when the velocity reaches to 3 m/s? what is the velocity of collar ? after 3 seconds? Also, at this instant, find the tension in the cord and the velocity of block A.
In the system shown, a spring is compressed and pushes a mass of 50Kg down the path shown with two different slopes. If the spring has a constant of 25 kN / m, what would have to be the deflection of the spring for the block to reach the limit at 2 m / s? The coefficient of kinetic friction is 0.15 and assume that starting from rest to make the ideal system
In the system shown, a spring is compressed and pushes a mass of 50Kg down the path shown with two different slopes. If the spring has a constant of 25 kN / m, what would have to be the deflection of the spring for the block to reach the limit at 2 m/s ? The coefficient of kinetic friction is 0.15 and assume that starting from rest to make the ideal system
A block of mass m= 2.0 kg is released from rest on an inclined plane at a height of h = 1.5 m. It moves down the rough incline with slope theta= 30.0°and continues on the horizontal frictionless surface. As shown in the figure, there is a spring with negligible mass and force constant k = 300 N/m. The coefficient of kinetic friction between the block and the incline is 0.250 What is the speed of the block when it gets down on the horizontal surface before it touches the spring? The box continues to move on the horizontal surface and compresses the spring. What will be the maximum compression of the spring?
By using a forked rod, a smooth cylinder C having a mass of 0.5 kg is forced to move along the vertical slotted path (r = 0.4 θ) m, where θ is in radians. If the angular position of the arm is θ = (0.3 t3 ) rad, where t is in seconds. The cylinder is in contact with only one edge of the rod and slot at any instant. Find "the force of the rod on the cylinder at the instant t=2s" Find "the normal force of the slot at the instant t=2s" Find the "radius of curvature at t=2s" Find the "ψ angle at t=2s"
The spring-mounted 0.8 kg collar A oscillates along the horizontal rod, which is rotating at the constant rate q = 6 rad/sec. The spring constant k equals 5 N /m and the coefficient of kinetic friction mk equals 0.4. At a certain instant, r = 0.2 m, which is increasing at the rate of 800 mm/s, while r = 0.3 m / s2. For this instant, calculate the friction force from the rod onto the collar and the elastic force on the collar. Indicate whether or not the elastic force points towards the origin O and then calculate the spring stretch. (Hint: the total normal force between the rod and the collar results from both the weight of the collar and the transverse normal force that is perpendicular to the rod on the plane of rotation of the rod.) PLEASE ANSWER ALL QUESTIONS!
consider the mass and pulley system in the attached file. mass m1 = 29 kg and mass m2 = 12kg. the angle of the inclined plane is given and the coefficient of kinetic friction between mass m2 and the inclined plane is uk = 0.12. assume the pulleys are massless and frictionless if the system is released from rest, what is the speed of mass m2 after 2.5 s? v(2.5 s) = ?
A block of mass 20 kg is released from rest at the top of a ramp as shown in Figure 4. Thecoeficient of kinetic friction between block and ramp is μk = 0.25. When the block reaches thebottom ramp, it slides onto a belt moving to the right at constant speed, vc = 5 m/s. The kineticfriction coeficient between the block and belt is μk = 0.2. Determine the distance, d that theblock slides along the belt before the block’s velocity matches the velocity of the belt.
A constant force P = 750 N acts on the body shown in figure during only the first 6m of its motion starting from rest. If coefficient of friction is 0.2, find the velocity of the body after it has moved a total distance of 9m.