Question

In: Physics

A block of mass m1 = 3.27 kg on a frictionless plane inclined at angle ?...

A block of mass m1 = 3.27 kg on a frictionless plane inclined at angle ? = 31.2

Solutions

Expert Solution

m1 = 3.27 Kg

m2 = 2.38 Kg

Angle of inclination ? = 31.2 degrees

(a)

Acceleration of hanging mass a = [(m1 sin? - m2)/(m1+ m2)]g

                                               = [0.993/9.23]9.8

                                               = -1.19 m/s^2

(b)

Tension in the string T = m1m2g(1 + sin?)/(m1 + m2)

                                    = 20.492 N


Related Solutions

A block of mass m1 = 3.54 kg on a frictionless plane inclined at angle θ...
A block of mass m1 = 3.54 kg on a frictionless plane inclined at angle θ = 26.5° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.41 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 of mass m1 = 6 kg on a rough 30°-inclined plane is connected to...
A block of mass m1 = 6 kg on a rough 30°-inclined plane is connected to a 4-kg mass (m2) by a string of negligible mass passing over a pulley shaped like a ring. The 2-kg pulley has radius 20 cm and rotates about its symmetry axis of rotation. The string causes the blocks and the pulley to rotate without slipping and without friction. The 6-kg block (m1) on the 30°slope is initially pressed against a spring near the bottom...
A 10 kg block is placed on an inclined plane that is at an angle of...
A 10 kg block is placed on an inclined plane that is at an angle of 30 degrees with respect to the horizontal. THe coefficient of kinetic friction between the block and the plane is .1. The block is released from rest at 5m above a spring that is also lying on the plane. The spring has a constant of 50 N/m. What is the max compression of the spring?
A block with mass m = 17.2 kg slides down an inclined plane of slope angle...
A block with mass m = 17.2 kg slides down an inclined plane of slope angle 13.8o with a constant velocity. It is then projected up the same plane with an initial speed 4.05 m/s. How far up the incline will the block move before coming to rest?
A 1.50-kg block is on a frictionless, 30 degrees inclined plane. The block is attached to...
A 1.50-kg block is on a frictionless, 30 degrees inclined plane. The block is attached to a spring (k = 40.0N/m ) that is fixed to a wall at the bottom of the incline. A light string attached to the block runs over a frictionless pulley to a 60.0-g suspended mass. The suspended mass is given an initial downward speed of 1.40m/s. How far does it drop before coming to rest? (Assume the spring is unlimited in how far it...
A block of mass m = 3.5 kg is on an inclined plane with a coefficient...
A block of mass m = 3.5 kg is on an inclined plane with a coefficient of friction μ1 = 0.23, at an initial height h = 0.46 m above the ground. The plane is inclined at an angle θ = 42°. The block is then compressed against a spring a distance Δx = 0.11 m from its equilibrium point (the spring has a spring constant of k1 = 39 N/m) and released. At the bottom of the inclined plane...
A block with mass m1 = 8.5 kg is on an incline with an angle θ...
A block with mass m1 = 8.5 kg is on an incline with an angle θ = 29° with respect to the horizontal. For the first question there is no friction between the incline and the block. 1) When there is no friction, what is the magnitude of the acceleration of the block? ) Now with friction, the acceleration is measured to be only a = 3.61 m/s2. What is the coefficient of kinetic friction between the incline and the...
A block with mass m1 = 8.9 kg is on an incline with an angle θ...
A block with mass m1 = 8.9 kg is on an incline with an angle θ = 27° with respect to the horizontal. For the first question there is no friction, but for the rest of this problem the coefficients of friction are: μk = 0.25 and μs = 0.275. 1)When there is no friction, what is the magnitude of the acceleration of the block? 2)Now with friction, what is the magnitude of the acceleration of the block after it...
A block with mass m1 = 8.9 kg is on an incline with an angle θ...
A block with mass m1 = 8.9 kg is on an incline with an angle θ = 31° with respect to the horizontal. For the first question there is no friction between the incline and the block. 1)When there is no friction, what is the magnitude of the acceleration of the block? 2)Now with friction, the acceleration is measured to be only a = 3.13 m/s2. What is the coefficient of kinetic friction between the incline and the block? 3)To...
A block with mass m1 = 9.4 kg is on an incline with an angle θ...
A block with mass m1 = 9.4 kg is on an incline with an angle θ = 34° with respect to the horizontal. For the first question there is no friction between the incline and the block. 1) When there is no friction, what is the magnitude of the acceleration of the block? m/s2 2) Now with friction, the acceleration is measured to be only a = 3.73 m/s2. What is the coefficient of kinetic friction between the incline and...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT