A block of mass 15 kg is placed on a long trolley. The coefficient of static friction between the block and the trolley is 0.18. The trolley accelerates from rest with 0.5 m s–2 for 20 s and then moves with uniform velocity. Discuss the motion of the block as viewed by (a) a stationary observer on the ground, (b) an observer moving with the trolley

Asked by Last Modified  

1 Answer

Learn Additional Exercise 5

Follow 1
Answer

Please enter your answer

(a) Mass of the block, m = 15 kg Coefficient of static friction, μ = 0.18 Acceleration of the trolley, a = 0.5 m/s2 As per Newton’s second law of motion, the force (F) on the block caused by the motion of the trolley is given by the relation: F = ma = 15 × 0.5 = 7.5 N This force is acted...
read more
(a)Mass of the block,m= 15 kg Coefficient of static friction,μ= 0.18 Acceleration of the trolley,a= 0.5 m/s2 As perNewton’s second law of motion, the force (F) on the block caused by the motion of the trolley is given by the relation: F=ma= 15 × 0.5 = 7.5 N This force is acted in the direction of motion ofthe trolley. Force of static friction betweenthe block and the trolley: f=μmg = 0.18 × 15 × 10 = 27 N Theforce of static friction between the block and the trolley is greater than the applied external force. Hence, for an observer on the ground, the block will appear to be at rest. When the trolley moves with uniform velocity there will be no applied external force. Only the force of friction will act on the block in this situation. (b)An observer, moving with the trolley, has some acceleration. This is the case of non-inertial frame of reference. The frictional force, acting on the trolley backward, is opposed by a pseudo force of the same magnitude. However, this force acts in the opposite direction. Thus, the trolley will appear to be at rest for the observer moving with the trolley. read less
Comments

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Recommended Articles

With the mushrooming of international and private schools, it may seem that the education system of India is healthy. In reality, only 29% of children are sent to the private schools, while the remaining head for government or state funded education. So, to check the reality of Indian education system it is better to look...

Read full article >

Quality education does not only help children to get a successful career and life, but it also hugely contributes to society. The formal education of every child starts from school. Although there are numerous schools, parents find it challenging to choose the right one that would fit their child. It is difficult for them...

Read full article >

Learning for every child starts from a very young age. While the formal methods include school curriculums and private lessons, the informal methods include dancing, music, drawing, and various fun-filling activities. Playing games and practising these types of activities helps the children get out of boredom and...

Read full article >

Once over with the tenth board exams, a heavy percentage of students remain confused between the three academic streams they have to choose from - science, arts or commerce. Some are confident enough to take a call on this much in advance. But there is no worry if as a student you take time to make choice between - science,...

Read full article >

Looking for Class 11 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you