
3.8. Moving plane A block of mass m is held motionless on a frictionless plane of...
3. A block of mass m is held motionless on a frictionless inclined plane by means of a string attached to a vertical wall as shown. (a) Make a free body diagram of the block. (b) Calculate the magnitude of the tension in the string if the mass of the block is 3 kg and angle 0 = 25°. (c) Find the normal force acting on the block. (d) If the cord is cut, find the magnitude of the resulting...
A block of mass m slides down a frictionless wedge of mass M. The upper surface of the wedge is inclined at an angle θ to the horizontal, and the bottom surface sits on a horizontal, frictionless surface. Find the acceleration of the block and wedge using Lagrange’s equations of motion.
A block of mass 100.0 g rests on a frictionless, horizontal plane. It is pressed firmly against a horizontal spring with spring constant 2000.0 N/m (assume that the spring is massless). The object is held in position such that the spring is compressed 1.00 cm shorter than its undisturbed length. If the block is suddenly released, at what speed will it be traveling when it is free of the spring?
Q2)) A block of mass m= 4 kg slides down a frictionless plane inclined 30° to the horizontal . The block is connected to other block ( moving vertically) of mass m2= 1kg by massless string through a rough pulley (with moment of ineria I= 12 mR", m= 2kg and R=0.5 m) as shown in the fig. a) Find the acceleration of the blocks. b) Find the acceleration of the pulley. c) Find the tension in the string . 30
A block of mass m1 = 3.23 kg on a frictionless plane inclined at angle θ = 32.3° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.60 kg hanging vertically (see the figure). (a) What is the acceleration of the hanging block (choose the positive direction down)? (b) What is the tension in the cord?
A block with mass M rests on a
frictionless surface and is connected to a horizontal spring of
force constant k. The other end of the spring is attached to a wall
(Fig. P14.68). A second block with mass m rests on top of the first
block. The coefficient of static friction between the blocks is ms.
Find the maximum amplitude of oscillation such that the top block
will not slip on the bottom block.
Suppose the two blocks are...
A block of mass m1 = 3.28 kg on a frictionless plane inclined at angle θ = 31.8° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.74 kg hanging vertically (see the figure). (a) What is the acceleration of the hanging block (choose the positive direction down)? (b) What is the tension in the cord? Answered (a) which is 1.65 but cant get (b). Its not 27.6.
1. The figure shows a box with mass m1 on a
frictionless plane inclined at angle ?1. The
box is
connected via a cord of negligible mass to another
box with mass m2 on a frictionless plane
inclined at
angle ?2 (> ?1). The pulley
is frictionless and has
negligible mass and assumes that the setup is on the
surface of the earth.
a) Provide free-body force diagram for both boxes.
b) What is the acceleration in terms of m1,...
A block of mass m is initially at rest at the top of an inclined plane, which has a height of 6.2 m and makes an angle of θ = 22° with respect to the horizontal. After being released, it is observed to be traveling at v = 0.65 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient...
A block of mass m1 = 3.7 Kg on a frictionless plane inclined at an angle θ = 30° is connected by a cord over a massless frictionless pulley to a second block of mass m2 = 2.3 Kg. a) What is the magnitude of the acceleration of each block? b) What is the Tension of the cord? c) What is the Normal force?